Fractions Worksheet with Multiplication Problems
Fractions worksheet with multiplication problems for students to solve, featuring 16 exercises in a two-column format.
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ID: #342843
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Show Answer Key & Explanations
Step-by-step solution for: Worksheets for fraction multiplication
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Show Answer Key & Explanations
Step-by-step solution for: Worksheets for fraction multiplication
Since both ExplainAnswer and TeachTopic are false, we will skip those sections entirely.
We will only provide the Final Answer, which is the complete set of solved problems from the worksheet.
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Let’s solve each problem step by step to ensure accuracy:
1 a.
7 × 1/3 = 7/3 → as mixed number: 2 1/3
But since other answers may be expected as improper fractions or whole numbers, let’s check context — most answers here simplify to whole numbers or simple fractions. Let’s keep as fraction unless specified.
Actually, looking at the worksheet, many problems result in whole numbers. Let’s compute carefully.
Wait — perhaps we should express all answers as simplified fractions or whole numbers as appropriate.
Let me re-solve each one clearly:
---
1 a. 7 × 1/3 = 7/3 → 7/3 (or 2 1/3) — but let’s see if others simplify better.
Actually, let’s do all and see patterns.
Better approach: Multiply whole number by numerator, keep denominator.
---
1 a. 7 × 1/3 = (7×1)/3 = 7/3
1 b. 6/10 × 6 = (6×6)/10 = 36/10 = 18/5 or 3 3/5
But maybe simplify first? 6/10 = 3/5 → 3/5 × 6 = 18/5 → same.
---
2 a. 3/5 × 6 = (3×6)/5 = 18/5 → 18/5
2 b. 1/5 × 7 = 7/5 → 7/5
---
3 a. 6 × 2/6 = (6×2)/6 = 12/6 = 2
3 b. 2 × 2/4 = 4/4 = 1
---
4 a. 3/10 × 8 = 24/10 = 12/5
4 b. 9 × 8/9 = 72/9 = 8
---
5 a. 3 × 1/9 = 3/9 = 1/3
5 b. 8 × 1/10 = 8/10 = 4/5
---
6 a. 6/10 × 2 = 12/10 = 6/5
6 b. 10 × 3/5 = 30/5 = 6
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7 a. 1/9 × 3 = 3/9 = 1/3
7 b. 7/8 × 7 = 49/8 → 49/8 or 6 1/8
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8 a. 4/9 × 3 = 12/9 = 4/3
8 b. 5/7 × 5 = 25/7 → 25/7
---
Now, let’s list them neatly as they appear on the worksheet:
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Final Answers:
1 a. 7/3
1 b. 18/5
2 a. 18/5
2 b. 7/5
3 a. 2
3 b. 1
4 a. 12/5
4 b. 8
5 a. 1/3
5 b. 4/5
6 a. 6/5
6 b. 6
7 a. 1/3
7 b. 49/8
8 a. 4/3
8 b. 25/7
---
Some of these can be written as mixed numbers, but since the worksheet doesn’t specify, and many are improper fractions, we’ll leave as improper fractions unless they simplify to whole numbers.
Double-checking a few:
- 3 a: 6 × 2/6 = 12/6 = 2 ✔
- 3 b: 2 × 2/4 = 4/4 = 1 ✔
- 4 b: 9 × 8/9 = 72/9 = 8 ✔
- 6 b: 10 × 3/5 = 30/5 = 6 ✔
- 5 a: 3 × 1/9 = 3/9 = 1/3 ✔
- 5 b: 8 × 1/10 = 8/10 = 4/5 ✔
- 6 a: 6/10 × 2 = 12/10 = 6/5 ✔
- 7 a: 1/9 × 3 = 3/9 = 1/3 ✔
- 8 a: 4/9 × 3 = 12/9 = 4/3 ✔
- 8 b: 5/7 × 5 = 25/7 ✔
- 1 b: 6/10 × 6 = 36/10 = 18/5 ✔
- 2 a: 3/5 × 6 = 18/5 ✔
- 2 b: 1/5 × 7 = 7/5 ✔
- 4 a: 3/10 × 8 = 24/10 = 12/5 ✔
- 7 b: 7/8 × 7 = 49/8 ✔
- 1 a: 7 × 1/3 = 7/3 ✔
All correct.
---
Final Answer:
1 a. \frac{7}{3}
1 b. \frac{18}{5}
2 a. \frac{18}{5}
2 b. \frac{7}{5}
3 a. 2
3 b. 1
4 a. \frac{12}{5}
4 b. 8
5 a. \frac{1}{3}
5 b. \frac{4}{5}
6 a. \frac{6}{5}
6 b. 6
7 a. \frac{1}{3}
7 b. \frac{49}{8}
8 a. \frac{4}{3}
8 b. \frac{25}{7}
We will only provide the Final Answer, which is the complete set of solved problems from the worksheet.
---
Let’s solve each problem step by step to ensure accuracy:
1 a.
7 × 1/3 = 7/3 → as mixed number: 2 1/3
But since other answers may be expected as improper fractions or whole numbers, let’s check context — most answers here simplify to whole numbers or simple fractions. Let’s keep as fraction unless specified.
Actually, looking at the worksheet, many problems result in whole numbers. Let’s compute carefully.
Wait — perhaps we should express all answers as simplified fractions or whole numbers as appropriate.
Let me re-solve each one clearly:
---
1 a. 7 × 1/3 = 7/3 → 7/3 (or 2 1/3) — but let’s see if others simplify better.
Actually, let’s do all and see patterns.
Better approach: Multiply whole number by numerator, keep denominator.
---
1 a. 7 × 1/3 = (7×1)/3 = 7/3
1 b. 6/10 × 6 = (6×6)/10 = 36/10 = 18/5 or 3 3/5
But maybe simplify first? 6/10 = 3/5 → 3/5 × 6 = 18/5 → same.
---
2 a. 3/5 × 6 = (3×6)/5 = 18/5 → 18/5
2 b. 1/5 × 7 = 7/5 → 7/5
---
3 a. 6 × 2/6 = (6×2)/6 = 12/6 = 2
3 b. 2 × 2/4 = 4/4 = 1
---
4 a. 3/10 × 8 = 24/10 = 12/5
4 b. 9 × 8/9 = 72/9 = 8
---
5 a. 3 × 1/9 = 3/9 = 1/3
5 b. 8 × 1/10 = 8/10 = 4/5
---
6 a. 6/10 × 2 = 12/10 = 6/5
6 b. 10 × 3/5 = 30/5 = 6
---
7 a. 1/9 × 3 = 3/9 = 1/3
7 b. 7/8 × 7 = 49/8 → 49/8 or 6 1/8
---
8 a. 4/9 × 3 = 12/9 = 4/3
8 b. 5/7 × 5 = 25/7 → 25/7
---
Now, let’s list them neatly as they appear on the worksheet:
---
Final Answers:
1 a. 7/3
1 b. 18/5
2 a. 18/5
2 b. 7/5
3 a. 2
3 b. 1
4 a. 12/5
4 b. 8
5 a. 1/3
5 b. 4/5
6 a. 6/5
6 b. 6
7 a. 1/3
7 b. 49/8
8 a. 4/3
8 b. 25/7
---
Some of these can be written as mixed numbers, but since the worksheet doesn’t specify, and many are improper fractions, we’ll leave as improper fractions unless they simplify to whole numbers.
Double-checking a few:
- 3 a: 6 × 2/6 = 12/6 = 2 ✔
- 3 b: 2 × 2/4 = 4/4 = 1 ✔
- 4 b: 9 × 8/9 = 72/9 = 8 ✔
- 6 b: 10 × 3/5 = 30/5 = 6 ✔
- 5 a: 3 × 1/9 = 3/9 = 1/3 ✔
- 5 b: 8 × 1/10 = 8/10 = 4/5 ✔
- 6 a: 6/10 × 2 = 12/10 = 6/5 ✔
- 7 a: 1/9 × 3 = 3/9 = 1/3 ✔
- 8 a: 4/9 × 3 = 12/9 = 4/3 ✔
- 8 b: 5/7 × 5 = 25/7 ✔
- 1 b: 6/10 × 6 = 36/10 = 18/5 ✔
- 2 a: 3/5 × 6 = 18/5 ✔
- 2 b: 1/5 × 7 = 7/5 ✔
- 4 a: 3/10 × 8 = 24/10 = 12/5 ✔
- 7 b: 7/8 × 7 = 49/8 ✔
- 1 a: 7 × 1/3 = 7/3 ✔
All correct.
---
Final Answer:
1 a. \frac{7}{3}
1 b. \frac{18}{5}
2 a. \frac{18}{5}
2 b. \frac{7}{5}
3 a. 2
3 b. 1
4 a. \frac{12}{5}
4 b. 8
5 a. \frac{1}{3}
5 b. \frac{4}{5}
6 a. \frac{6}{5}
6 b. 6
7 a. \frac{1}{3}
7 b. \frac{49}{8}
8 a. \frac{4}{3}
8 b. \frac{25}{7}
Parent Tip: Review the logic above to help your child master the concept of time and fractions worksheet.