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Dividing fractions by whole numbers - Fraction and Decimal ... - Free Printable

Dividing fractions by whole numbers - Fraction and Decimal ...

Educational worksheet: Dividing fractions by whole numbers - Fraction and Decimal .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Dividing fractions by whole numbers - Fraction and Decimal ...
Let’s solve each problem step by step using the method shown in the example:

Rule:
To divide a fraction by a whole number:
1. Multiply the bottom number (denominator) of the fraction by the whole number.
2. Simplify the answer if needed.

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Problem 1:
$\frac{1}{5} \div 5$
→ Step 1: $5 \times 5 = 25$, so we get $\frac{1}{25}$
→ Step 2: Already simplified.
Answer: $\frac{1}{25}$

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Problem 2:
$\frac{2}{10} \div 4$
→ Step 1: $10 \times 4 = 40$, so we get $\frac{2}{40}$
→ Step 2: Simplify → divide numerator and denominator by 2 → $\frac{1}{20}$
Answer: $\frac{1}{20}$

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Problem 3:
$\frac{7}{10} \div 7$
→ Step 1: $10 \times 7 = 70$, so we get $\frac{7}{70}$
→ Step 2: Simplify → divide by 7 → $\frac{1}{10}$
Answer: $\frac{1}{10}$

---

Problem 4:
$\frac{2}{3} \div 3$
→ Step 1: $3 \times 3 = 9$, so we get $\frac{2}{9}$
→ Step 2: Already simplified.
Answer: $\frac{2}{9}$

---

Problem 5:
$\frac{1}{4} \div 8$
→ Step 1: $4 \times 8 = 32$, so we get $\frac{1}{32}$
→ Step 2: Already simplified.
Answer: $\frac{1}{32}$

---

Problem 6:
$\frac{2}{3} \div 6$
→ Step 1: $3 \times 6 = 18$, so we get $\frac{2}{18}$
→ Step 2: Simplify → divide by 2 → $\frac{1}{9}$
Answer: $\frac{1}{9}$

---

Problem 7:
$\frac{4}{5} \div 2$
→ Step 1: $5 \times 2 = 10$, so we get $\frac{4}{10}$
→ Step 2: Simplify → divide by 2 → $\frac{2}{5}$
Answer: $\frac{2}{5}$

---

Problem 8:
$\frac{1}{5} \div 6$
→ Step 1: $5 \times 6 = 30$, so we get $\frac{1}{30}$
→ Step 2: Already simplified.
Answer: $\frac{1}{30}$

---

Problem 9:
$\frac{2}{4} \div 9$
→ Step 1: $4 \times 9 = 36$, so we get $\frac{2}{36}$
→ Step 2: Simplify → divide by 2 → $\frac{1}{18}$
Answer: $\frac{1}{18}$

---

Problem 10:
$\frac{1}{2} \div 6$
→ Step 1: $2 \times 6 = 12$, so we get $\frac{1}{12}$
→ Step 2: Already simplified.
Answer: $\frac{1}{12}$

---

Problem 11:
$\frac{8}{10} \div 7$
→ Step 1: $10 \times 7 = 70$, so we get $\frac{8}{70}$
→ Step 2: Simplify → divide by 2 → $\frac{4}{35}$
Answer: $\frac{4}{35}$

---

Problem 12:
$\frac{1}{3} \div 2$
→ Step 1: $3 \times 2 = 6$, so we get $\frac{1}{6}$
→ Step 2: Already simplified.
Answer: $\frac{1}{6}$

---

Problem 13:
$\frac{1}{2} \div 3$
→ Step 1: $2 \times 3 = 6$, so we get $\frac{1}{6}$
→ Step 2: Already simplified.
Answer: $\frac{1}{6}$

---

Problem 14:
$\frac{4}{10} \div 4$
→ Step 1: $10 \times 4 = 40$, so we get $\frac{4}{40}$
→ Step 2: Simplify → divide by 4 → $\frac{1}{10}$
Answer: $\frac{1}{10}$

---

Final Answer:
1. $\frac{1}{25}$
2. $\frac{1}{20}$
3. $\frac{1}{10}$
4. $\frac{2}{9}$
5. $\frac{1}{32}$
6. $\frac{1}{9}$
7. $\frac{2}{5}$
8. $\frac{1}{30}$
9. $\frac{1}{18}$
10. $\frac{1}{12}$
11. $\frac{4}{35}$
12. $\frac{1}{6}$
13. $\frac{1}{6}$
14. $\frac{1}{10}$
Parent Tip: Review the logic above to help your child master the concept of dividing fractions by a whole number worksheet.
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