To divide a fraction by a whole number, you multiply the denominator (the bottom number) of the fraction by that whole number. The numerator (the top number) stays the same.
Here is the step-by-step solution for each problem:
1.
$\frac{1}{3} \div 4$
* Multiply the denominator $3$ by $4$: $3 \times 4 = 12$.
* Keep the numerator $1$.
* Result: $\frac{1}{12}$
2.
$\frac{2}{5} \div 7$
* Multiply the denominator $5$ by $7$: $5 \times 7 = 35$.
* Keep the numerator $2$.
* Result: $\frac{2}{35}$
3.
$\frac{1}{2} \div 2$
* Multiply the denominator $2$ by $2$: $2 \times 2 = 4$.
* Keep the numerator $1$.
* Result: $\frac{1}{4}$
4.
$\frac{2}{5} \div 9$
* Multiply the denominator $5$ by $9$: $5 \times 9 = 45$.
* Keep the numerator $2$.
* Result: $\frac{2}{45}$
5.
$\frac{1}{2} \div 6$
* Multiply the denominator $2$ by $6$: $2 \times 6 = 12$.
* Keep the numerator $1$.
* Result: $\frac{1}{12}$
6.
$\frac{4}{10} \div 2$
* Multiply the denominator $10$ by $2$: $10 \times 2 = 20$.
* Keep the numerator $4$.
* Initial Result: $\frac{4}{20}$
* Simplify the fraction: Both numbers can be divided by $4$.
* $4 \div 4 = 1$ and $20 \div 4 = 5$.
* Final Result: $\frac{1}{5}$
Final Answer:
$\frac{1}{3} \div 4 = \frac{1}{12}$
$\frac{2}{5} \div 7 = \frac{2}{35}$
$\frac{1}{2} \div 2 = \frac{1}{4}$
$\frac{2}{5} \div 9 = \frac{2}{45}$
$\frac{1}{2} \div 6 = \frac{1}{12}$
$\frac{4}{10} \div 2 = \frac{1}{5}$
Parent Tip: Review the logic above to help your child master the concept of dividing whole numbers by fractions worksheet.