Number - Finding fractions of numbers and quantities

Find $\frac{1}{3}$ of $15$ apples.

$15 \div 3 = 5$

To find one-third, we divide the total number of apples ($15$) into $3$ equal groups. Each group contains $5$ apples.

Calculate $\frac{1}{4}$ of $20$ cm.

$20 \div 4 = 5$ cm

Since the numerator is $1$, we divide the total quantity ($20$) by the denominator ($4$).

Find $\frac{2}{5}$ of $25$ marbles.

$25 \div 5 = 5$ $5 \times 2 = 10$

Step 1: Find $\frac{1}{5}$ by dividing the total ($25$) by the denominator ($5$), which equals $5$. Step 2: Multiply that result by the numerator ($2$) to find $\frac{2}{5}$. $5 \times 2 = 10$.

Sarah has $12$ sweets. She gives $\frac{3}{4}$ of them to her friends. How many sweets does she give away?

$12 \div 4 = 3$ $3 \times 3 = 9$

First, find $\frac{1}{4}$ of $12$ by dividing by $4$, which is $3$. Since she gives away $\frac{3}{4}$, multiply $3$ by $3$ to get $9$ sweets.