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Worksheet #6: Be a Fraction Wizard!
The task is to
multiply the fraction by the whole number. This means we'll compute:
> (Fraction) × (Whole Number)
We can do this by multiplying the numerator of the fraction by the whole number and keeping the denominator the same, then simplifying if needed.
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Step-by-step Solutions:
1.
4/6 of 4
= (4/6) × 4 = (4×4)/6 = 16/6
Simplify: 16 ÷ 2 = 8, 6 ÷ 2 = 3 →
8/3 or
2 2/3
2.
3/8 of 2
= (3/8) × 2 = (3×2)/8 = 6/8
Simplify: 6 ÷ 2 = 3, 8 ÷ 2 = 4 →
3/4
3.
1/5 of 2
= (1/5) × 2 = 2/5 →
2/5
4.
3/4 of 6
= (3/4) × 6 = (3×6)/4 = 18/4
Simplify: 18 ÷ 2 = 9, 4 ÷ 2 = 2 →
9/2 or
4 1/2
5.
2/5 of 4
= (2/5) × 4 = 8/5 →
8/5 or
1 3/5
6.
2/3 of 8
= (2/3) × 8 = 16/3 →
16/3 or
5 1/3
7.
1/4 of 9
= (1/4) × 9 = 9/4 →
9/4 or
2 1/4
8.
7/8 of 6
= (7/8) × 6 = 42/8
Simplify: 42 ÷ 2 = 21, 8 ÷ 2 = 4 →
21/4 or
5 1/4
9.
1/5 of 7
= (1/5) × 7 = 7/5 →
7/5 or
1 2/5
10.
2/4 of 7
= (2/4) × 7 = (1/2) × 7 = 7/2 →
7/2 or
3 1/2
*(Note: 2/4 simplifies to 1/2)*
11.
2/4 of 1
= (2/4) × 1 = 2/4 =
1/2
12.
4/8 of 1
= (4/8) × 1 = 4/8 =
1/2
13.
2/6 of 8
= (2/6) × 8 = (1/3) × 8 = 8/3 →
8/3 or
2 2/3
*(2/6 simplifies to 1/3)*
14.
2/6 of 5
= (2/6) × 5 = (1/3) × 5 = 5/3 →
5/3 or
1 2/3
15.
5/8 of 5
= (5/8) × 5 = 25/8 →
25/8 or
3 1/8
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✔ Final Answers:
1.
8/3 or
2 2/3
2.
3/4
3.
2/5
4.
9/2 or
4 1/2
5.
8/5 or
1 3/5
6.
16/3 or
5 1/3
7.
9/4 or
2 1/4
8.
21/4 or
5 1/4
9.
7/5 or
1 2/5
10.
7/2 or
3 1/2
11.
1/2
12.
1/2
13.
8/3 or
2 2/3
14.
5/3 or
1 2/3
15.
25/8 or
3 1/8
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📝 Tips:
- Always simplify fractions when possible.
- You can convert improper fractions to mixed numbers if required.
- Remember: "of" means multiplication in math!
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions by whole numbers worksheets.