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Printable math worksheet for converting fractions to decimals, including examples and practice problems.

A worksheet titled "Converting Fractions to Decimals" with instructions and examples, featuring 16 fraction-to-decimal conversion problems, a cartoon salamander, and the Math-Salamanders.com logo.

A worksheet titled "Converting Fractions to Decimals" with instructions and examples, featuring 16 fraction-to-decimal conversion problems, a cartoon salamander, and the Math-Salamanders.com logo.

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ID: #858204
Show Answer Key & Explanations Step-by-step solution for: Convert Fractions to Decimal
Let’s solve each fraction by dividing the top number (numerator) by the bottom number (denominator). We’ll do this one at a time, carefully.

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1) 1 ÷ 5 = 0.2

2) 3 ÷ 12 =
We can simplify first: 3/12 = 1/4 → 1 ÷ 4 = 0.25

3) 3 ÷ 8 =
8 goes into 3 zero times → add decimal → 30 ÷ 8 = 3 with remainder 6 → 60 ÷ 8 = 7 with remainder 4 → 40 ÷ 8 = 5 → so 0.375

4) 4 ÷ 5 = 0.8

5) 7 ÷ 4 =
4 goes into 7 once → remainder 3 → 30 ÷ 4 = 7 with remainder 2 → 20 ÷ 4 = 5 → so 1.75

6) 7 ÷ 16 =
16 goes into 7 zero → 70 ÷ 16 = 4 (64), remainder 6 → 60 ÷ 16 = 3 (48), rem 12 → 120 ÷ 16 = 7 (112), rem 8 → 80 ÷ 16 = 5 → so 0.4375

7) 1 ÷ 6 =
6 into 1 → 0.1666... repeating → we write as 0.1667 (rounded to 4 decimals) or keep as 0.1̅6̅ but for school, usually round to 4 places → 0.1667

Actually, let’s be precise: 1 ÷ 6 = 0.166666… → if rounding to 4 decimal places, it’s 0.1667

But since the examples in the worksheet show exact decimals (like 0.1875), maybe they want exact? Let’s check:

Wait — 1/6 is a repeating decimal. But looking at the worksheet examples, Example 2 shows 3/16 = 0.1875 (exact). So perhaps for repeating decimals, we should write them as repeating or rounded? The worksheet doesn’t specify, but since all other problems here terminate except 1/6 and maybe others, let’s compute exactly where possible.

Actually, let’s recalculate all precisely:

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Let me go through each again, computing numerator ÷ denominator directly:

1) 1 ÷ 5 = 0.2

2) 3 ÷ 12 = 0.25

3) 3 ÷ 8 = 0.375

4) 4 ÷ 5 = 0.8

5) 7 ÷ 4 = 1.75

6) 7 ÷ 16 = 0.4375

7) 1 ÷ 6 = 0.1666... → typically written as 0.1667 if rounded to 4 decimal places. But let’s see what the worksheet expects. Since Example 2 gave 0.1875 (4 decimal places), I’ll use 4 decimal places for non-terminating too.

But actually, 1/6 = 0.1666... → to 4 decimal places: look at 5th digit is 6, so round up → 0.1667

8) 11 ÷ 2 = 5.5

9) 18 ÷ 8 = 2.25 (since 18/8 = 9/4 = 2.25)

10) 6 ÷ 15 = 0.4 (because 6/15 = 2/5 = 0.4)

11) 7 ÷ 3 = 2.333... → to 4 decimal places: 2.3333 (but actually 2.3333... → 5th digit is 3, so no rounding up → 2.3333)

Wait — 7 ÷ 3 = 2.333333... → to 4 decimal places: 2.3333

12) 6 ÷ 20 = 0.3

13) 9 ÷ 15 = 0.6 (since 9/15 = 3/5 = 0.6)

14) 16 ÷ 6 = 2.666... → to 4 decimal places: 2.6667 (because 5th digit is 6, round up)

15) 7 ÷ 9 = 0.777... → to 4 decimal places: 0.7778 (5th digit is 7, round up)

16) 9 ÷ 5 = 1.8

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Now let’s list them clearly:

1) 0.2
2) 0.25
3) 0.375
4) 0.8
5) 1.75
6) 0.4375
7) 0.1667 (rounded from 0.1666...)
8) 5.5
9) 2.25
10) 0.4
11) 2.3333 (from 2.3333...)
12) 0.3
13) 0.6
14) 2.6667 (from 2.6666...)
15) 0.7778 (from 0.7777...)
16) 1.8

I think that’s accurate. For repeating decimals, since the worksheet didn’t specify, and their example used 4 decimal places (0.1875), I’m using 4 decimal places for consistency.

Final Answer:
1) 0.2
2) 0.25
3) 0.375
4) 0.8
5) 1.75
6) 0.4375
7) 0.1667
8) 5.5
9) 2.25
10) 0.4
11) 2.3333
12) 0.3
13) 0.6
14) 2.6667
15) 0.7778
16) 1.8
Parent Tip: Review the logic above to help your child master the concept of math worksheet fractions to decimals.
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