Grade 5 math worksheet for multiplying fractions by whole numbers.
A Grade 5 fractions worksheet titled "Multiplying fractions by whole numbers" with 16 math problems involving multiplication of fractions and whole numbers.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Math Worksheets: Multiplying fractions by whole numbers ...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Math Worksheets: Multiplying fractions by whole numbers ...
Let’s solve each problem step by step. Remember: when you multiply a fraction by a whole number, you can think of the whole number as a fraction over 1 (like 5 = 5/1). Then multiply straight across — numerator times numerator, denominator times denominator. Sometimes you can simplify before multiplying to make it easier!
Also note: “of” means multiply. So “½ of 2” is the same as “½ × 2”.
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Problem 1:
1 × 1/3 = ?
→ 1 × 1 = 1, and 1 × 3 = 3 → 1/3
Problem 2:
9 × 7/10 = ?
→ 9 × 7 = 63, and 1 × 10 = 10 → 63/10 or 6 3/10
Problem 3:
7 × 4/5 = ?
→ 7 × 4 = 28, and 1 × 5 = 5 → 28/5 or 5 3/5
Problem 4:
½ of 2 = ½ × 2 = ?
→ 1 × 2 = 2, 2 × 1 = 2 → 2/2 = 1
Problem 5:
1/12 of 1 = 1/12 × 1 = ?
→ 1 × 1 = 1, 12 × 1 = 12 → 1/12
Problem 6:
2/5 of 2 = 2/5 × 2 = ?
→ 2 × 2 = 4, 5 × 1 = 5 → 4/5
Problem 7:
1/5 of 5 = 1/5 × 5 = ?
→ 1 × 5 = 5, 5 × 1 = 5 → 5/5 = 1
Problem 8:
3/10 of 8 = 3/10 × 8 = ?
→ 3 × 8 = 24, 10 × 1 = 10 → 24/10 = 12/5 or 2 2/5
Problem 9:
1/5 of 5 = same as #7 → 1
Wait — let me check again. Problem 9 says “1/5 of 5” — yes, that’s 1/5 × 5 = 5/5 = 1
But wait — looking back at the worksheet, problem 9 is actually written as “1/5 of 5” — same as #7? Let me double-check the original image description... Actually, in the user's text, problem 9 is listed as:
> 9. 1/5 of 5 =
Yes, same as #7. But maybe it’s a typo? Or perhaps intentional for practice. We’ll go with what’s written.
Actually — wait! Looking again at the original list provided by the user:
In the user’s message, problem 9 is:
> 9. 1/5 of 5 =
And problem 7 is also:
> 7. 1/5 of 5 =
That seems like a duplicate. But since we’re solving what’s given, we’ll do both.
So problem 9: 1/5 × 5 = 1
Problem 10:
2/7 of 9 = 2/7 × 9 = ?
→ 2 × 9 = 18, 7 × 1 = 7 → 18/7 or 2 4/7
Problem 11:
8 × 1/8 = ?
→ 8 × 1 = 8, 1 × 8 = 8 → 8/8 = 1
Problem 12:
9 × 4/6 = ?
First, simplify 4/6 to 2/3 → then 9 × 2/3 = (9×2)/(1×3) = 18/3 = 6
Or without simplifying first: 9 × 4 = 36, 1 × 6 = 6 → 36/6 = 6
Same answer.
Problem 13:
4/5 of 5 = 4/5 × 5 = ?
→ 4 × 5 = 20, 5 × 1 = 5 → 20/5 = 4
Problem 14:
7 × 5/10 = ?
Simplify 5/10 to 1/2 → 7 × 1/2 = 7/2 = 3 1/2
Or: 7 × 5 = 35, 1 × 10 = 10 → 35/10 = 7/2 = 3 1/2
Problem 15:
2/12 of 9 = 2/12 × 9
Simplify 2/12 to 1/6 → 1/6 × 9 = 9/6 = 3/2 = 1 1/2
Or: 2 × 9 = 18, 12 × 1 = 12 → 18/12 = 3/2 = 1 1/2
Problem 16:
1/2 of 9 = 1/2 × 9 = 9/2 = 4 1/2
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Now let’s write all answers clearly:
1. 1/3
2. 63/10 or 6 3/10
3. 28/5 or 5 3/5
4. 1
5. 1/12
6. 4/5
7. 1
8. 24/10 or 12/5 or 2 2/5
9. 1
10. 18/7 or 2 4/7
11. 1
12. 6
13. 4
14. 35/10 or 7/2 or 3 1/2
15. 18/12 or 3/2 or 1 1/2
16. 9/2 or 4 1/2
I’ll present them as simplified fractions or mixed numbers where appropriate, as typically expected in Grade 5.
Final Answer:
1. \frac{1}{3}
2. 6\frac{3}{10}
3. 5\frac{3}{5}
4. 1
5. \frac{1}{12}
6. \frac{4}{5}
7. 1
8. 2\frac{2}{5}
9. 1
10. 2\frac{4}{7}
11. 1
12. 6
13. 4
14. 3\frac{1}{2}
15. 1\frac{1}{2}
16. 4\frac{1}{2}
Also note: “of” means multiply. So “½ of 2” is the same as “½ × 2”.
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Problem 1:
1 × 1/3 = ?
→ 1 × 1 = 1, and 1 × 3 = 3 → 1/3
Problem 2:
9 × 7/10 = ?
→ 9 × 7 = 63, and 1 × 10 = 10 → 63/10 or 6 3/10
Problem 3:
7 × 4/5 = ?
→ 7 × 4 = 28, and 1 × 5 = 5 → 28/5 or 5 3/5
Problem 4:
½ of 2 = ½ × 2 = ?
→ 1 × 2 = 2, 2 × 1 = 2 → 2/2 = 1
Problem 5:
1/12 of 1 = 1/12 × 1 = ?
→ 1 × 1 = 1, 12 × 1 = 12 → 1/12
Problem 6:
2/5 of 2 = 2/5 × 2 = ?
→ 2 × 2 = 4, 5 × 1 = 5 → 4/5
Problem 7:
1/5 of 5 = 1/5 × 5 = ?
→ 1 × 5 = 5, 5 × 1 = 5 → 5/5 = 1
Problem 8:
3/10 of 8 = 3/10 × 8 = ?
→ 3 × 8 = 24, 10 × 1 = 10 → 24/10 = 12/5 or 2 2/5
Problem 9:
1/5 of 5 = same as #7 → 1
Wait — let me check again. Problem 9 says “1/5 of 5” — yes, that’s 1/5 × 5 = 5/5 = 1
But wait — looking back at the worksheet, problem 9 is actually written as “1/5 of 5” — same as #7? Let me double-check the original image description... Actually, in the user's text, problem 9 is listed as:
> 9. 1/5 of 5 =
Yes, same as #7. But maybe it’s a typo? Or perhaps intentional for practice. We’ll go with what’s written.
Actually — wait! Looking again at the original list provided by the user:
In the user’s message, problem 9 is:
> 9. 1/5 of 5 =
And problem 7 is also:
> 7. 1/5 of 5 =
That seems like a duplicate. But since we’re solving what’s given, we’ll do both.
So problem 9: 1/5 × 5 = 1
Problem 10:
2/7 of 9 = 2/7 × 9 = ?
→ 2 × 9 = 18, 7 × 1 = 7 → 18/7 or 2 4/7
Problem 11:
8 × 1/8 = ?
→ 8 × 1 = 8, 1 × 8 = 8 → 8/8 = 1
Problem 12:
9 × 4/6 = ?
First, simplify 4/6 to 2/3 → then 9 × 2/3 = (9×2)/(1×3) = 18/3 = 6
Or without simplifying first: 9 × 4 = 36, 1 × 6 = 6 → 36/6 = 6
Same answer.
Problem 13:
4/5 of 5 = 4/5 × 5 = ?
→ 4 × 5 = 20, 5 × 1 = 5 → 20/5 = 4
Problem 14:
7 × 5/10 = ?
Simplify 5/10 to 1/2 → 7 × 1/2 = 7/2 = 3 1/2
Or: 7 × 5 = 35, 1 × 10 = 10 → 35/10 = 7/2 = 3 1/2
Problem 15:
2/12 of 9 = 2/12 × 9
Simplify 2/12 to 1/6 → 1/6 × 9 = 9/6 = 3/2 = 1 1/2
Or: 2 × 9 = 18, 12 × 1 = 12 → 18/12 = 3/2 = 1 1/2
Problem 16:
1/2 of 9 = 1/2 × 9 = 9/2 = 4 1/2
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Now let’s write all answers clearly:
1. 1/3
2. 63/10 or 6 3/10
3. 28/5 or 5 3/5
4. 1
5. 1/12
6. 4/5
7. 1
8. 24/10 or 12/5 or 2 2/5
9. 1
10. 18/7 or 2 4/7
11. 1
12. 6
13. 4
14. 35/10 or 7/2 or 3 1/2
15. 18/12 or 3/2 or 1 1/2
16. 9/2 or 4 1/2
I’ll present them as simplified fractions or mixed numbers where appropriate, as typically expected in Grade 5.
Final Answer:
1. \frac{1}{3}
2. 6\frac{3}{10}
3. 5\frac{3}{5}
4. 1
5. \frac{1}{12}
6. \frac{4}{5}
7. 1
8. 2\frac{2}{5}
9. 1
10. 2\frac{4}{7}
11. 1
12. 6
13. 4
14. 3\frac{1}{2}
15. 1\frac{1}{2}
16. 4\frac{1}{2}
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions with whole numbers worksheet.