Grade 5 Math Worksheets: Convert lengths (inches, feet, and yards ... - Free Printable

Let’s solve each problem step by step using the conversion rules:

We know:
- 1 yard (yd) = 3 feet (ft)
- 1 foot (ft) = 12 inches (in)

So to convert:
- Yards → Feet: multiply by 3
- Feet → Inches: multiply by 12
- Yards → Inches: multiply by 36 (because 3 × 12 = 36)
- Inches → Feet: divide by 12
- Feet → Yards: divide by 3
- Inches → Yards: divide by 36

Now let’s go one by one.

---

1. 54 yd = ? ft
54 × 3 = 162 ft

2. 8 yd = ? in
8 × 36 = 288 in

3. 55 yd = ? ft
55 × 3 = 165 ft

4. 92 in = ? yd
92 ÷ 36 = 2 with remainder 20 → but we want decimal or fraction? Since it's measurement, we can leave as mixed number or decimal. But looking at example “14 in = 1 ft 2 in”, they might expect whole numbers and remainders? Wait — actually, the worksheet says “convert to new units” — and for #4 it says “92 in = ___ yd”. So probably just divide and write as decimal or simplified fraction? Let me check the pattern.

Actually, looking again — all answers are expected in single unit (like only ft, only in, only yd). So we’ll do exact division.

92 ÷ 36 = 2.555... but that’s messy. Maybe they want it as a mixed number? But the blank is just “___ yd”. Hmm.

Wait — perhaps I should re-read the instructions. The note says: “Convert between yards, feet and inches” and gives conversions. The example is “14 in = 1 ft 2 in” — which breaks into two units. But in the problems, each has only ONE blank after the equals sign, and specifies the target unit.

Look at #1: “54 yd = ___ ft” — so answer is just number of feet.

#2: “8 yd = ___ in” — just inches.

#4: “92 in = ___ yd” — so we need to express 92 inches as how many yards? That would be 92/36 = 23/9 ≈ 2.555… but that’s not nice.

Wait — maybe I made a mistake. Let me double-check the worksheet layout.

Actually, looking back — in the original image description, problem #4 is “92 in = ___ yd” — yes. But 92 divided by 36 is not a whole number. Perhaps they expect fractional form? Or maybe I misread?

Wait — let me calculate properly:

92 ÷ 36 = 2 and 20/36 = 2 and 5/9 yards. But that seems complicated for grade 5.

Alternatively — perhaps the worksheet expects us to use the chain: inches → feet → yards.

92 in ÷ 12 = 7 ft and 8 in (since 12×7=84, 92-84=8)

Then 7 ft ÷ 3 = 2 yd and 1 ft (since 3×2=6, 7-6=1)

So total: 2 yd 1 ft 8 in — but the question asks for “___ yd”, meaning only yards? That doesn’t fit.

I think there might be a misunderstanding. Let me look at other problems.

Problem #6: “7 ft = ___ yd” — 7÷3 = 2.333… or 2 1/3 yd.

But in school worksheets, sometimes they accept fractions.

Perhaps for this level, they want the answer as a mixed number or decimal? But the example didn't show decimals.

Another thought: maybe for problems like #4, they want the equivalent in yards as a decimal rounded? But no instruction.

Wait — let's check problem #10: “7 in = ___ yd” — that’s even smaller.

This suggests that perhaps the worksheet intends for students to use the direct conversion factor and write the answer as a fraction or decimal.

But to keep it simple for grade 5, maybe they expect us to divide and write as a mixed number if needed.

However, looking at the format — all blanks are single line, so likely they want numerical value, possibly fractional.

But let's proceed with exact values using fractions where necessary.

Actually, I recall that in such worksheets, when converting to a larger unit, they often expect the answer as a mixed number or improper fraction.

But to avoid confusion, let's do precise calculations.

Let me restart with clear method:

For any conversion:

- To go from smaller to larger unit: divide
- To go from larger to smaller: multiply

And use the factors:

yd to ft: ×3
ft to in: ×12
yd to in: ×36
in to ft: ÷12
ft to yd: ÷3
in to yd: ÷36

Now let's compute each:

1. 54 yd to ft: 54 × 3 = 162 ft

2. 8 yd to in: 8 × 36 = 288 in

3. 55 yd to ft: 55 × 3 = 165 ft

4. 92 in to yd: 92 ÷ 36 = 92/36 = 23/9 = 2 5/9 yd → but since the blank is for "yd", and no specification, perhaps write as decimal? 2.555... but that's not neat.

Wait — maybe I have a mistake in problem numbering. Let me list them as per the image description:

From user input:

1. 54 yd = ___ ft
2. 8 yd = ___ in
3. 55 yd = ___ ft
4. 92 in = ___ yd
5. 97 in = ___ ft
6. 7 ft = ___ yd
7. 5 in = ___ ft
8. 73 yd = ___ ft
9. 59 in = ___ ft
10. 7 in = ___ yd
11. 34 ft = ___ yd
12. 46 ft = ___ in
13. 95 ft = ___ yd
14. 16 in = ___ yd
15. 25 ft = ___ in
16. 39 ft = ___ yd
17. 12 in = ___ ft
18. 83 in = ___ yd
19. 6 in = ___ ft
20. 69 yd = ___ in

Okay, now for #4: 92 in to yd.

92 ÷ 36 = 2.555... but let's keep as fraction: 92/36 simplify by dividing numerator and denominator by 4: 23/9 = 2 5/9

But perhaps in this context, they want the answer as a decimal? Or maybe I should see if it's exact.

Another idea: perhaps for inches to yards, they expect to first convert to feet, then to yards, and report the yard part only? But that doesn't make sense because 92 in is more than 2 yards.

Let's calculate numerically:

36 in = 1 yd, so 92 / 36 = 2.555... yd

But for grade 5, they might expect the answer as a mixed number: 2 5/9 yd

Similarly for others.

To be consistent, I'll use fractions where necessary, but simplify.

Let's do all:

1. 54 yd = 54 * 3 = 162 ft

2. 8 yd = 8 * 36 = 288 in

3. 55 yd = 55 * 3 = 165 ft

4. 92 in = 92 / 36 = 23/9 = 2 5/9 yd or approximately 2.56, but better as fraction. However, looking at the example "14 in = 1 ft 2 in", they broke it down, but here the target unit is specified as "yd", so probably just the number of yards.

Perhaps the worksheet allows decimals. Let me assume we can use decimals for simplicity, as long as accurate.

92 ÷ 36 = 2.555... which is 2.56 if rounded, but that's not exact.

I think for accuracy, we should use fractions.

But let's check online or standard practice. In many grade 5 worksheets, they use whole numbers or simple fractions.

Notice that 92 and 36 are both divisible by 4: 92÷4=23, 36÷4=9, so 23/9 yd.

23/9 = 2 5/9 yd.

Similarly, for #5: 97 in to ft: 97 ÷ 12 = 8 1/12 ft (since 12*8=96, remainder 1)

#6: 7 ft to yd: 7 ÷ 3 = 2 1/3 yd

#7: 5 in to ft: 5 ÷ 12 = 5/12 ft

#8: 73 yd to ft: 73 * 3 = 219 ft

#9: 59 in to ft: 59 ÷ 12 = 4 11/12 ft (12*4=48, 59-48=11)

#10: 7 in to yd: 7 ÷ 36 = 7/36 yd

#11: 34 ft to yd: 34 ÷ 3 = 11 1/3 yd (3*11=33, remainder 1)

#12: 46 ft to in: 46 * 12 = 552 in

#13: 95 ft to yd: 95 ÷ 3 = 31 2/3 yd (3*31=93, remainder 2)

#14: 16 in to yd: 16 ÷ 36 = 4/9 yd

#15: 25 ft to in: 25 * 12 = 300 in

#16: 39 ft to yd: 39 ÷ 3 = 13 yd (exact)

#17: 12 in to ft: 12 ÷ 12 = 1 ft

#18: 83 in to yd: 83 ÷ 36 = 2 11/36 yd (36*2=72, 83-72=11)

#19: 6 in to ft: 6 ÷ 12 = 1/2 ft or 0.5 ft

#20: 69 yd to in: 69 * 36 = let's calculate: 70*36=2520, minus 36=2484 in

Now, to present the answers, since the worksheet likely expects numerical values, and for fractions, we can write as mixed numbers or improper fractions, but to match the format, perhaps write as decimals where possible, but for accuracy, I'll use fractions.

However, upon second thought, in many such worksheets, they design the numbers to give whole numbers or simple fractions. Let me verify if I have any calculation errors.

For #4: 92 in to yd. Is 92 divisible by 36? No. But perhaps the problem is to convert to the nearest whole number? Unlikely.

Another possibility: maybe "convert" means to express in terms of the target unit, and if it's not whole, leave as fraction.

I think for the sake of this exercise, I'll provide the exact values, using fractions where necessary, simplified.

So let's list all answers:

1. 162
2. 288
3. 165
4. 23/9 or 2 5/9 — but since the blank is for "yd", and no specification, perhaps write as decimal? I think for consistency, I'll use mixed numbers for clarity.

But the final answer section should have the numbers as per the blanks.

Perhaps the worksheet expects the answer as a number, and for non-integers, use fraction.

To make it easy, I'll calculate each and box the answer.

Let me do it systematically:

1. 54 yd = 54 × 3 = 162 ft

2. 8 yd = 8 × 36 = 288 in

3. 55 yd = 55 × 3 = 165 ft

4. 92 in = 92 ÷ 36 = 23/9 = 2\frac{5}{9} yd but since the blank might expect a single number, perhaps 2.56, but I think for math accuracy, we'll keep as fraction. However, in the context, let's see the example: "14 in = 1 ft 2 in" — they used compound units, but here the target is single unit.

I think there's a disconnect. Perhaps for problems like #4, they want the equivalent in yards as a decimal, but let's assume we can use fractions.

To resolve this, I recall that in some curricula, they teach to convert using the factor and write the answer as a mixed number if needed.

So for #4: 92 in = 2 yd and 20 in, but since the question asks for "___ yd", it might be expecting the total yards as a number, so 92/36 = 23/9.

But 23/9 is approximately 2.555, which is not nice.

Perhaps I miscalculated the conversion. 1 yd = 36 in, yes.

Another idea: maybe "convert" means to change to the target unit, and if it's not integer, it's ok to have fraction.

I think for the purpose of this response, I'll provide the exact fractional answers where necessary, and whole numbers otherwise.

So let's finalize:

1. 162
2. 288
3. 165
4. \frac{23}{9} or 2\frac{5}{9} — but to write in blank, perhaps 2.56, but I think better to use fraction. Since the assistant is to provide final answer, and for accuracy, I'll use fractions.

But let's look at #17: 12 in = 1 ft — whole number.

#19: 6 in = 0.5 ft or 1/2 ft.

So for consistency, I'll use fractions for non-integers.

So:

4. 92 in = 92/36 = 23/9 yd

But 23/9 can be written as 2 5/9, but in the blank, perhaps just the number.

I think for the final answer, I'll list the numerical values as required.

Perhaps the worksheet has a typo, but I doubt it.

Let's calculate #10: 7 in = 7/36 yd — very small.

I think it's correct.

So I'll proceed with the calculations as is.

Final Answers:

1. 162
2. 288
3. 165
4. \frac{23}{9} or 2.555... but to be precise, let's keep as fraction. However, in many contexts, they might expect decimal, but for math, fraction is exact.

Since the user is a student, and to make it simple, I'll use mixed numbers for clarity in the explanation, but for the final answer, I'll put the number as it should be filled in the blank.

Upon re-thinking, in the worksheet, for example, if it was 36 in = 1 yd, so 92 in is 2 full yards and 20 in left, but the question is "92 in = ___ yd", so it's asking for the equivalent in yards, which is 92/36 = 23/9 yards.

So I think it's fine.

To match the format, I'll provide the answers as numbers, and for fractions, write them as improper fractions or mixed, but since the blank is single, perhaps decimal is accepted.

I found a better way: in some worksheets, they allow the answer as a decimal rounded to two places, but here no instruction.

For the sake of completing, I'll use exact values.

Let me list all answers with calculations:

1. 54 * 3 = 162
2. 8 * 36 = 288
3. 55 * 3 = 165
4. 92 / 36 = 23/9 = 2.555... but let's say 2.56 if rounded, but I think for accuracy, we'll keep as 23/9. However, in the final answer, perhaps write as 2.56, but that's approximate.

I recall that in the initial example, "14 in = 1 ft 2 in", they didn't use decimal, so perhaps for this worksheet, when converting to a single unit, they expect the fractional form.

But to move forward, I'll provide the answers as follows, using fractions where necessary, and for the final answer section, I'll list the numbers.

Perhaps for #4, it's 2.56, but let's calculate exactly.

Another thought: maybe "convert" means to express in the target unit, and if it's not whole, it's ok, and in grade 5, they might have learned decimals.

So I'll use decimals for non-integers, rounded to two decimal places if needed, but for exact fractions, use fraction.

But to simplify, let's do this:

For divisions, if it's not integer, write as mixed number.

So:

4. 92 in = 2 5/9 yd
5. 97 in = 8 1/12 ft
6. 7 ft = 2 1/3 yd
7. 5 in = 5/12 ft
8. 73 yd = 219 ft
9. 59 in = 4 11/12 ft
10. 7 in = 7/36 yd
11. 34 ft = 11 1/3 yd
12. 46 ft = 552 in
13. 95 ft = 31 2/3 yd
14. 16 in = 4/9 yd
15. 25 ft = 300 in
16. 39 ft = 13 yd
17. 12 in = 1 ft
18. 83 in = 2 11/36 yd
19. 6 in = 1/2 ft
20. 69 yd = 2484 in

Now for the final answer, since the blanks are for the number, and for mixed numbers, it might be written as "2 5/9" etc., but in the context of the worksheet, perhaps they expect the numerical value.

I think for the response, I'll provide the answers as per the calculation, and in the final answer section, list them as numbers, with fractions where necessary.

So let's box the final answers as:

1. 162
2. 288
3. 165
4. \frac{23}{9} or 2\frac{5}{9} — but to write in text, perhaps "2 5/9"
Similarly for others.

To make it clean, I'll write the answers as they should be filled in the blanks, using mixed numbers for clarity.

So for the Final Answer section, I'll list:

1. 162
2. 288
3. 165
4. 2\frac{5}{9}
5. 8\frac{1}{12}
6. 2\frac{1}{3}
7. \frac{5}{12}
8. 219
9. 4\frac{11}{12}
10. \frac{7}{36}
11. 11\frac{1}{3}
12. 552
13. 31\frac{2}{3}
14. \frac{4}{9}
15. 300
16. 13
17. 1
18. 2\frac{11}{36}
19. \frac{1}{2}
20. 2484

But this is messy for the final answer section.

Perhaps the worksheet intends for students to use the conversion and write the number, and for non-integers, it's understood.

I think for the purpose of this response, I'll provide the answers as calculated, and in the final answer, list them with fractions.

But to adhere to the format, let's do the following: in the reasoning, I'll explain, and in final answer, put the numerical values.

Since the user may expect simple numbers, and upon double-checking, I realize that for #4, 92 in to yd, it is indeed 92/36 = 23/9, but perhaps in the context, they want the answer as a decimal.

Let's calculate 92 ÷ 36 = 2.555... which is 2.56 if rounded to two decimals, but that's not exact.

I think I should stick to exact values.

So I'll go with the fractions.

For the final answer, I'll write:

Final Answer:
1. 162
2. 288
3. 165
4. \frac{23}{9}
5. \frac{97}{12}
6. \frac{7}{3}
7. \frac{5}{12}
8. 219
9. \frac{59}{12}
10. \frac{7}{36}
11. \frac{34}{3}
12. 552
13. \frac{95}{3}
14. \frac{16}{36} = \frac{4}{9}
15. 300
16. 13
17. 1
18. \frac{83}{36}
19. \frac{6}{12} = \frac{1}{2}
20. 2484

But this is not user-friendly.

Perhaps simplify the fractions.

For example, #4: 23/9 is already simplified.

#5: 97/12 is simplified.

#6: 7/3

#7: 5/12

#9: 59/12

#10: 7/36

#11: 34/3

#13: 95/3

#14: 4/9

#18: 83/36

#19: 1/2

So in the final answer, I'll list them as such.

But for the student, mixed numbers might be better.

I think for the response, I'll use mixed numbers in the explanation, and in final answer, put the number as it should be.

Let's decide: in the final answer section, for each, put the numerical value that fills the blank, using mixed numbers where applicable.

So:

1. 162
2. 288
3. 165
4. 2\frac{5}{9}
5. 8\frac{1}{12}
6. 2\frac{1}{3}
7. \frac{5}{12}
8. 219
9. 4\frac{11}{12}
10. \frac{7}{36}
11. 11\frac{1}{3}
12. 552
13. 31\frac{2}{3}
14. \frac{4}{9}
15. 300
16. 13
17. 1
18. 2\frac{11}{36}
19. \frac{1}{2}
20. 2484

And for the final answer, since it's a list, I'll write it as such.

So in the response, after reasoning, I'll put this.

But to save space, perhaps in the final answer, list the numbers in order.

So let's do that.

First, let's confirm all calculations once more.

1. 54 yd * 3 = 162 ft — correct
2. 8 yd * 36 = 288 in — correct
3. 55 yd * 3 = 165 ft — correct
4. 92 in / 36 = 2.555... = 23/9 = 2 5/9 yd — correct
5. 97 in / 12 = 8.0833... = 8 1/12 ft — correct (12*8=96, 97-96=1)
6. 7 ft / 3 = 2.333... = 2 1/3 yd — correct
7. 5 in / 12 = 5/12 ft — correct
8. 73 yd * 3 = 219 ft — correct
9. 59 in / 12 = 4.9166... = 4 11/12 ft (12*4=48, 59-48=11) — correct
10. 7 in / 36 = 7/36 yd — correct
11. 34 ft / 3 = 11.333... = 11 1/3 yd (3*11=33, 34-33=1) — correct
12. 46 ft * 12 = 552 in — correct
13. 95 ft / 3 = 31.666... = 31 2/3 yd (3*31=93, 95-93=2) — correct
14. 16 in / 36 = 4/9 yd — correct (simplify 16/36=4/9)
15. 25 ft * 12 = 300 in — correct
16. 39 ft / 3 = 13 yd — correct
17. 12 in / 12 = 1 ft — correct
18. 83 in / 36 = 2.3055... = 2 11/36 yd (36*2=72, 83-72=11) — correct
19. 6 in / 12 = 0.5 = 1/2 ft — correct
20. 69 yd * 36 = let's calculate: 70*36=2520, minus 36=2484 in — correct

All good.

So for the final answer, I'll list them as above.

In the response, since ExplainAnswer is false, I won't have explanation section, but I need to provide the final answer after reasoning.

The instruction says: "Complete ALL reasoning and explanations BEFORE writing the Final Answer."

And "If ExplainAnswer is false, completely omit that section."

So I can have a reasoning section before final answer.

So in my response, I'll have a "Reasoning" section where I explain how I solved it, then "Final Answer".

So let's do that.

Reasoning:
To convert between yards, feet, and inches, remember:
- 1 yard = 3 feet
- 1 foot = 12 inches
So, 1 yard = 36 inches.

When converting:
- From larger unit to smaller unit, multiply.
- From smaller unit to larger unit, divide.

For each problem:
1. 54 yards to feet: 54 × 3 = 162 feet
2. 8 yards to inches: 8 × 36 = 288 inches
3. 55 yards to feet: 55 × 3 = 165 feet
4. 92 inches to yards: 92 ÷ 36 = 23/9 = 2 5/9 yards
5. 97 inches to feet: 97 ÷ 12 = 8 1/12 feet
6. 7 feet to yards: 7 ÷ 3 = 2 1/3 yards
7. 5 inches to feet: 5 ÷ 12 = 5/12 feet
8. 73 yards to feet: 73 × 3 = 219 feet
9. 59 inches to feet: 59 ÷ 12 = 4 11/12 feet
10. 7 inches to yards: 7 ÷ 36 = 7/36 yards
11. 34 feet to yards: 34 ÷ 3 = 11 1/3 yards
12. 46 feet to inches: 46 × 12 = 552 inches
13. 95 feet to yards: 95 ÷ 3 = 31 2/3 yards
14. 16 inches to yards: 16 ÷ 36 = 4/9 yards
15. 25 feet to inches: 25 × 12 = 300 inches
16. 39 feet to yards: 39 ÷ 3 = 13 yards
17. 12 inches to feet: 12 ÷ 12 = 1 foot
18. 83 inches to yards: 83 ÷ 36 = 2 11/36 yards
19. 6 inches to feet: 6 ÷ 12 = 1/2 foot
20. 69 yards to inches: 69 × 36 = 2484 inches

Final Answer:
1. 162
2. 288
3. 165
4. 2\frac{5}{9}
5. 8\frac{1}{12}
6. 2\frac{1}{3}
7. \frac{5}{12}
8. 219
9. 4\frac{11}{12}
10. \frac{7}{36}
11. 11\frac{1}{3}
12. 552
13. 31\frac{2}{3}
14. \frac{4}{9}
15. 300
16. 13
17. 1
18. 2\frac{11}{36}
19. \frac{1}{2}
20. 2484

To make it look better, in the final answer, I can write the mixed numbers as "2 5/9" etc., without LaTeX.

So in text:

Final Answer:
1. 162
2. 288
3. 165
4. 2 5/9
5. 8 1/12
6. 2 1/3
7. 5/12
8. 219
9. 4 11/12
10. 7/36
11. 11 1/3
12. 552
13. 31 2/3
14. 4/9
15. 300
16. 13
17. 1
18. 2 11/36
19. 1/2
20. 2484

Yes, this should be fine.

So I'll go with that.