Question

name armani: t
date

1. solve using a tape diagram.

a. $\frac{1}{4}$ of 24
b. $\frac{1}{4}$ of 48
c. $\frac{2}{3} \times 18$
d. $\frac{2}{6} \times 18$
e. $\frac{3}{7} \times 49$
f. $\frac{3}{10} \times 120$
g. $\frac{1}{3} \times 31$
h. $\frac{2}{5} \times 20$
i. $\frac{1}{4} \times 25$
j. $\frac{3}{5} \times 25$

Explanation:

Step1: Solve $\frac{1}{4}$ of 24

Divide 24 into 4 equal parts.
$\frac{24}{4}=6$

Step2: Solve $\frac{1}{4}$ of 48

Divide 48 into 4 equal parts.
$\frac{48}{4}=12$

Step3: Solve $\frac{2}{3} \times 18$

First find $\frac{1}{3}$ of 18, multiply by 2.
$\frac{18}{3} \times 2=6 \times 2=12$

Step4: Solve $\frac{2}{6} \times 18$

Simplify $\frac{2}{6}$ to $\frac{1}{3}$, then calculate.
$\frac{1}{3} \times 18=6$

Step5: Solve $\frac{3}{7} \times 49$

First find $\frac{1}{7}$ of 49, multiply by 3.
$\frac{49}{7} \times 3=7 \times 3=21$

Step6: Solve $\frac{3}{10} \times 120$

First find $\frac{1}{10}$ of 120, multiply by 3.
$\frac{120}{10} \times 3=12 \times 3=36$

Step7: Solve $\frac{1}{3} \times 31$

Divide 31 into 3 equal parts.
$\frac{31}{3}=10\frac{1}{3}$

Step8: Solve $\frac{2}{5} \times 20$

First find $\frac{1}{5}$ of 20, multiply by 2.
$\frac{20}{5} \times 2=4 \times 2=8$

Step9: Solve $\frac{1}{4} \times 25$

Divide 25 into 4 equal parts.
$\frac{25}{4}=6\frac{1}{4}$

Step10: Solve $\frac{3}{5} \times 25$

First find $\frac{1}{5}$ of 25, multiply by 3.
$\frac{25}{5} \times 3=5 \times 3=15$

Answer:

a. 6
b. 12
c. 12
d. 6
e. 21
f. 36
g. $10\frac{1}{3}$
h. 8
i. $6\frac{1}{4}$
j. 15