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Convert fractions to decimals practice worksheet for math education.

Worksheet for converting fractions to decimals with exercises and multiple-choice questions.

Worksheet for converting fractions to decimals with exercises and multiple-choice questions.

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Show Answer Key & Explanations Step-by-step solution for: Converting between Fractions and Decimals Worksheets
Sure! Let’s solve each part of the worksheet step by step.

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A) Convert the following fractions to decimals



To convert a fraction to a decimal, divide the numerator by the denominator.

1) 3/10
→ 3 ÷ 10 = 0.3

2) 50/100
→ 50 ÷ 100 = 0.50 (or simply 0.5)

3) 48/100
→ 48 ÷ 100 = 0.48

4) 17/100
→ 17 ÷ 100 = 0.17

5) 26/10
→ 26 ÷ 10 = 2.6

6) 3/100
→ 3 ÷ 100 = 0.03

7) 75/100
→ 75 ÷ 100 = 0.75

8) 1/10
→ 1 ÷ 10 = 0.1

Answers for Part A:
1) 0.3
2) 0.5
3) 0.48
4) 0.17
5) 2.6
6) 0.03
7) 0.75
8) 0.1

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B) Match each fraction with its equivalent decimal



Let’s convert each fraction and match:

- 42/10 → 42 ÷ 10 = 4.2 → matches with 4.2 (not listed? Wait — let’s check the options given)

Wait — looking at the options on the right:
• 3.9
• 6.2
• 0.04

But 42/10 = 4.2 — which is not listed? That seems odd. Let me double-check the image description.

Actually, looking again — the fractions are:

- 42/10 → 4.2
- 4/100 → 0.04
- 39/10 → 3.9

And the decimals listed are:
• 3.9
• 6.2
• 0.04

So we have:

✔️ 42/10 → 4.2 — but 4.2 is NOT listed? Hmm. Maybe it's a typo or misprint?

Wait — perhaps the first one is 42/100, not 42/10? But the image says 42/10.

Alternatively, maybe “6.2” is meant to be matched with something else?

Let’s re-evaluate carefully:

- 42/10 = 4.2 → no match in list?
- 4/100 = 0.04 → matches 0.04
- 39/10 = 3.9 → matches 3.9

So only two match. What about 6.2? Is there a fraction that equals 6.2? 62/10 = 6.2 — but we don’t have 62/10.

Possibility: Maybe the first fraction is 62/10? But the image says 42/10.

Given the problem as written:

Correct matches:

- 4/1000.04
- 39/103.9

The 42/10 = 4.2 doesn’t match any of the given decimals (3.9, 6.2, 0.04). So either there’s a typo in the worksheet, or perhaps the student is expected to leave it unmatched — but that’s unlikely.

Alternatively — maybe the decimal “6.2” is meant to match 62/10, but it’s not listed.

Since we must match based on what’s given:

➡️ Perhaps the first fraction is misprinted? Or maybe we’re supposed to match only the ones that fit.

But logically, based on math:

- 42/10 = 4.2 → no match
- 4/100 = 0.04 → matches 0.04
- 39/10 = 3.9 → matches 3.9

So unless “6.2” is a distractor, only two can be matched.

But since the worksheet says “Match each fraction”, and there are three fractions and three decimals, likely there’s an error.

Wait — let’s check if 42/10 was meant to be 62/10? Because 62/10 = 6.2.

That would make sense!

If we assume it’s a typo and it should be 62/10, then:

- 62/10 = 6.2 → matches 6.2
- 4/100 = 0.04 → matches 0.04
- 39/10 = 3.9 → matches 3.9

That fits perfectly.

Given the context of a worksheet, this is likely a printing error, and 42/10 should be 62/10.

So final matching (assuming typo):

- 62/106.2
- 4/1000.04
- 39/103.9

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C) Which of the following is the decimal equivalent of 6/100?



6/100 = 6 ÷ 100 = 0.06

Options:
a) 0.66
b) 0.16
c) 0.6
d) 0.06 ← Correct!

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## Final Answers:

A)


1) 0.3
2) 0.5
3) 0.48
4) 0.17
5) 2.6
6) 0.03
7) 0.75
8) 0.1

B) *(Assuming 42/10 is a typo and should be 62/10)*


- 62/10 ↔ 6.2
- 4/100 ↔ 0.04
- 39/10 ↔ 3.9

*(If you must use 42/10 as written, then only 4/100 and 39/10 match — 42/10 has no match.)*

C)


d) 0.06

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Let me know if you’d like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of fractions to decimals worksheet 8th grade.
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