Convert fractions to decimals practice worksheet for math education.
Worksheet for converting fractions to decimals with exercises and multiple-choice questions.
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Step-by-step solution for: Converting between Fractions and Decimals Worksheets
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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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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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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:
- 4/100 ↔ 0.04
- 39/10 ↔ 3.9
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):
- 62/10 ↔ 6.2
- 4/100 ↔ 0.04
- 39/10 ↔ 3.9
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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:
1) 0.3
2) 0.5
3) 0.48
4) 0.17
5) 2.6
6) 0.03
7) 0.75
8) 0.1
- 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.)*
d) 0.06
---
Let me know if you’d like this formatted as a printable answer key!
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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:
- 4/100 ↔ 0.04
- 39/10 ↔ 3.9
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):
- 62/10 ↔ 6.2
- 4/100 ↔ 0.04
- 39/10 ↔ 3.9
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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.