Let’s solve each problem step by step.
We are dividing a
unit fraction (a fraction with 1 on top) by a
whole number.
The models show how the unit fraction is split into equal parts — that tells us the answer!
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Problem 1:
> $\frac{1}{9} \div 2 = ?$
The model shows:
Top bar = $\frac{1}{9}$
Bottom bar = two pieces, each labeled $\frac{1}{18}$
So, splitting $\frac{1}{9}$ into 2 equal parts gives $\frac{1}{18}$ per part.
✔ Answer: $\frac{1}{18}$
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Problem 2:
> $\frac{1}{5} \div 6 = ?$
Model:
Top = $\frac{1}{5}$
Bottom = six pieces, each $\frac{1}{30}$
Splitting $\frac{1}{5}$ into 6 equal parts → each part is $\frac{1}{30}$
✔ Answer: $\frac{1}{30}$
---
Problem 3:
> $\frac{1}{2} \div 8 = ?$
Model:
Top = $\frac{1}{2}$
Bottom = eight pieces, each $\frac{1}{16}$
Splitting half into 8 equal parts → each is $\frac{1}{16}$
✔ Answer: $\frac{1}{16}$
---
Problem 4:
> $\frac{1}{4} \div 5 = ?$
Model:
Top = $\frac{1}{4}$
Bottom = five pieces, each $\frac{1}{20}$
Splitting one-fourth into 5 equal parts → each is $\frac{1}{20}$
✔ Answer: $\frac{1}{20}$
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Problem 5:
> $\frac{1}{6} \div 9 = ?$
Model:
Top = $\frac{1}{6}$
Bottom = nine pieces, each $\frac{1}{54}$
Splitting one-sixth into 9 equal parts → each is $\frac{1}{54}$
✔ Answer: $\frac{1}{54}$
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Problem 6:
> $\frac{1}{3} \div 3 = ?$
Model:
Top = $\frac{1}{3}$
Bottom = three pieces, each $\frac{1}{9}$
Splitting one-third into 3 equal parts → each is $\frac{1}{9}$
✔ Answer: $\frac{1}{9}$
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Final Answer:
1) $\frac{1}{18}$
2) $\frac{1}{30}$
3) $\frac{1}{16}$
4) $\frac{1}{20}$
5) $\frac{1}{54}$
6) $\frac{1}{9}$
Parent Tip: Review the logic above to help your child master the concept of dividing fractions by whole numbers worksheet.