Convert fractions to decimals with this printable math worksheet from Math Monks.

Let’s solve each fraction by dividing the top number (numerator) by the bottom number (denominator). We’ll write the decimal answer in the blank box next to each fraction.

We’ll go row by row, left to right.

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Row 1:

- 4 ÷ 6
4 divided by 6 = 0.666... → round to 3 decimals? Usually we write repeating or simplify. But since it says “decimal number”, let’s do exact division.
Actually, 4/6 simplifies to 2/3, and 2÷3 = 0.666… → but maybe they want rounded or exact? Let’s check others — some are terminating.
Wait — perhaps we should just divide as is without simplifying first? The problem doesn’t say to simplify. So:

4 ÷ 6 = 0.666... → but for school worksheets, sometimes they expect you to write it as a decimal with a few places or recognize repeating. However, looking at other fractions like 1/5=0.2, 3/4=0.75 — those terminate. So maybe we should compute exactly.

Actually, let’s just do straight division for each and write the decimal. If it repeats, we can write it with a bar or round? But the worksheet doesn’t specify. Since this is likely elementary/middle school, and many of these will be terminating, let’s calculate precisely.

Better idea: Do the division and if it terminates, write full decimal. If not, write up to 3 or 4 decimal places? But let’s see what’s expected.

Looking at 8/3 — that’s 2.666..., 11/5=2.2, etc.

I think for consistency, we’ll compute each as a decimal, and if it repeats, we’ll note it, but since the boxes are empty, probably they expect the decimal value — perhaps rounded to 3 decimal places? Or exact?

Actually, let’s look at the fractions:

Many of them will give terminating decimals. Let’s compute each one carefully.

I’ll do each division step by step.

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Let me list all fractions and compute their decimal equivalents:

1. 4/6 = 2/3 ≈ 0.6667 (but let's keep as 0.666... or 0.6̅?) — but for worksheet, maybe write 0.67? No, better to be precise.

Wait — actually, in such worksheets, they often expect the exact decimal, even if repeating, but written out. But since there’s no instruction, I’ll assume we write the decimal as far as needed, and if repeating, use ellipsis or just write several digits.

But to match typical expectations, let’s compute each to 4 decimal places if non-terminating, or exact if terminating.

Actually, let’s do proper long division mentally or on paper.

I’ll go one by one:

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First Row:

- 4/6:
4 ÷ 6 = 0.6666... → 0.6667 if rounded to 4 decimals, but perhaps write as 0.6̅? But since it’s a box, maybe just 0.67? No — let’s see standard practice.

Actually, I recall that in many such sheets, they accept the decimal form as calculated. Let me calculate numerically:

4 ÷ 6 = 0.666666... → we can write 0.667 if rounding to 3 decimals, but let’s check the answer key style.

Since this is for a student, and to avoid confusion, I’ll provide the exact decimal representation where possible, and for repeating, indicate it clearly.

But the problem says "change into decimal numbers" — so likely they want the numerical value.

Let me compute each:

1. 4/6 = 2/3 = 0.666... → but let's write as 0.6667 (rounded to 4 decimals) — however, I think for accuracy, we should not round unless specified.

Another approach: do the division and write the result as is.

Perhaps the worksheet expects simplified fractions first? But it doesn't say.

Looking at 16/22 — that reduces to 8/11, which is 0.7272...

This is getting messy. Let me instead calculate each fraction as a decimal using division, and write the answer with sufficient precision.

I'll use calculator-like precision but show steps.

Actually, since I'm an AI, I can compute exactly.

Let me list all answers:

Fractions:

Row 1:
- 4/6 = 0.666666... → 0.6667 (if rounded to 4 decimals) but let's keep more digits or use fraction to decimal conversion.

Standard way: divide numerator by denominator.

So:

1. 4 ÷ 6 = 0.666666... → typically written as 0.\overline{6} but for this context, perhaps write 0.67? No, better to be accurate.

I think for this level, they might expect the decimal up to 3 or 4 places. Let's assume we write 4 decimal places for non-terminating, and exact for terminating.

But let's do it properly.

Let me calculate each:

1. 4/6 = 2/3 = 0.6667 (rounded to 4 decimals)
2. 8/3 = 2.6667
3. 11/5 = 2.2

Row 2:
4. 5/3 = 1.6667
5. 25/4 = 6.25
6. 1/5 = 0.2

Row 3:
7. 3/4 = 0.75
8. 12/5 = 2.4
9. 16/22 = 8/11 ≈ 0.7273

Row 4:
10. 2/15 = 0.1333...
11. 9/7 ≈ 1.2857
12. 4/5 = 0.8

Row 5:
13. 18/7 ≈ 2.5714
14. 24/11 ≈ 2.1818
15. 33/10 = 3.3

Row 6:
16. 1/8 = 0.125
17. 8/15 ≈ 0.5333
18. 13/10 = 1.3

Now, to present this neatly, I'll write the decimal for each, rounding to 4 decimal places where necessary, but for terminating decimals, write full.

But for repeating decimals, in school, sometimes they write the repeating part with a bar, but since the box is plain, perhaps just write the decimal.

To be safe, I'll provide the decimal value as commonly accepted.

Let me verify each calculation:

1. 4 ÷ 6 = 0.666666... → 0.6667 (rounded to 4 decimals)
2. 8 ÷ 3 = 2.666666... → 2.6667
3. 11 ÷ 5 = 2.2
4. 5 ÷ 3 = 1.666666... → 1.6667
5. 25 ÷ 4 = 6.25
6. 1 ÷ 5 = 0.2
7. 3 ÷ 4 = 0.75
8. 12 ÷ 5 = 2.4
9. 16 ÷ 22 = 8 ÷ 11 = 0.727272... → 0.7273
10. 2 ÷ 15 = 0.133333... → 0.1333
11. 9 ÷ 7 = 1.285714... → 1.2857
12. 4 ÷ 5 = 0.8
13. 18 ÷ 7 = 2.571428... → 2.5714
14. 24 ÷ 11 = 2.181818... → 2.1818
15. 33 ÷ 10 = 3.3
16. 1 ÷ 8 = 0.125
17. 8 ÷ 15 = 0.533333... → 0.5333
18. 13 ÷ 10 = 1.3

I think this is acceptable. For the worksheet, they might expect exact values, but since some are repeating, rounding to 4 decimals is fine.

Alternatively, for fractions that simplify, we could simplify first, but the problem doesn't say to simplify, so we'll divide as given.

For example, 4/6 is the same as 2/3, but we'll use 4/6 for division.

In division, 4÷6 is the same as 2÷3, so it's fine.

Now, to present the final answer, I'll list them in order.

Since the user wants the final answer after reasoning, I'll box the answers in order.

But how to format? Probably as a list corresponding to the positions.

Since it's a grid, I'll write the decimals in the same order as the fractions appear.

So, from top-left to bottom-right:

Position 1: 4/6 → 0.6667
Position 2: 8/3 → 2.6667
Position 3: 11/5 → 2.2
Position 4: 5/3 → 1.6667
Position 5: 25/4 → 6.25
Position 6: 1/5 → 0.2
Position 7: 3/4 → 0.75
Position 8: 12/5 → 2.4
Position 9: 16/22 → 0.7273
Position 10: 2/15 → 0.1333
Position 11: 9/7 → 1.2857
Position 12: 4/5 → 0.8
Position 13: 18/7 → 2.5714
Position 14: 24/11 → 2.1818
Position 15: 33/10 → 3.3
Position 16: 1/8 → 0.125
Position 17: 8/15 → 0.5333
Position 18: 13/10 → 1.3

I used rounding to 4 decimal places for non-terminating decimals. For terminating, I wrote the exact value.

Let me double-check a few:

- 16/22: 16 ÷ 22 = 0.727272... yes, 0.7273 when rounded to 4 decimals.
- 2/15: 2 ÷ 15 = 0.1333... yes.
- 9/7: 9 ÷ 7 = 1.285714... so 1.2857 is good.
- 18/7: 18 ÷ 7 = 2.571428... → 2.5714
- 24/11: 24 ÷ 11 = 2.181818... → 2.1818
- 8/15: 8 ÷ 15 = 0.5333... → 0.5333

All seem correct.

For 4/6, if we simplify to 2/3, it's still 0.666..., so same.

I think this is fine.

Now, for the final answer, since the user has options set to false for explanation, teach, and practice, I only need to provide the final answer.

But the instruction says: "Complete ALL reasoning and explanations BEFORE writing the Final Answer." and since ExplainAnswer is false, I shouldn't have an explanation section, but I did reasoning in my thought process.

In the response, I should not include the reasoning if ExplainAnswer is false. The rules say: "If an option is false, completely omit that section."

And for Final Answer, it should come after all explanations, but since no explanations are to be included, I can directly give the final answer.

But the critical rule is: "First work through the problem step by step, check your calculations carefully, and ONLY THEN provide the final answer." — which I did in my thinking.

Then, for the response, since ExplainAnswer, TeachTopic, GeneratePractice are all false, I only output the Final Answer section.

And the Final Answer should be the solutions.

How to format the final answer? Probably as a list of the decimal values in order.

Since it's a worksheet with 18 problems, I'll list them in the order they appear.

So, Final Answer:

The decimal equivalents are:

0.6667, 2.6667, 2.2, 1.6667, 6.25, 0.2, 0.75, 2.4, 0.7273, 0.1333, 1.2857, 0.8, 2.5714, 2.1818, 3.3, 0.125, 0.5333, 1.3

To make it clear, perhaps write them in a grid or just sequentially.

Since the original is in rows, I can group by rows.

But for simplicity, I'll list them in order.

I think it's fine.

Some might prefer exact fractions converted, but I think decimals are what's asked.

Another thing: for 4/6, should I write 0.6 with a bar? But in text, it's hard, and the box is for number, so decimal is fine.

I think my calculation is correct.

So, final answer.