Question

a. $\frac{2}{3}$ × $\frac{2}{2}$ = $\frac{4}{6}$
b. $\frac{1}{5}$ ×
d. $\frac{1}{4}$ × $\frac{1}{6}$ = $\frac{1}{24}$
e. $\frac{5}{6}$ ×
use division to find an equivalent fraction.
g. $\frac{3}{12}$
h. $\frac{14}{28}$
j. $\frac{25}{40}$
k. $\frac{8}{12}$
find three equivalent fractions for each fra

Explanation:

Part g: $\boldsymbol{\frac{3}{12}}$

Step1: Find GCD of 3 and 12

The greatest common divisor (GCD) of 3 and 12 is 3, since 3 divides both 3 and 12.

Step2: Divide numerator and denominator by GCD

Divide the numerator (3) and the denominator (12) by 3:
$\frac{3\div3}{12\div3} = \frac{1}{4}$

Step1: Find GCD of 14 and 28

The GCD of 14 and 28 is 14, as 14 divides both 14 and 28.

Step2: Divide numerator and denominator by GCD

Divide 14 (numerator) and 28 (denominator) by 14:
$\frac{14\div14}{28\div14} = \frac{1}{2}$

Step1: Find GCD of 25 and 40

The GCD of 25 and 40 is 5 (factors of 25: 1, 5, 25; factors of 40: 1, 2, 4, 5, 8, 10, 20, 40).

Step2: Divide numerator and denominator by GCD

Divide 25 (numerator) and 40 (denominator) by 5:
$\frac{25\div5}{40\div5} = \frac{5}{8}$

Answer:

$\frac{1}{4}$

Part h: $\boldsymbol{\frac{14}{28}}$