Question

Circle the fraction equivalent to the given one :$\frac{21}{45}$

• A. $\frac{14}{28}$
• B. $\frac{7}{9}$
• C. $\frac{21}{30}$
• D. $\frac{14}{30}$

Answer 1

The correct option is D

$\frac{14}{30}$

Step 1: Find the equivalent fraction of $\frac{21}{45}$

Equivalent Fraction: The fractions that have different numerators and denominators but are equal to the same value are called equivalent fraction.

We multiply or divide the numerator and denominator of a given fraction by the same number to get an equivalent fraction.

Here HCF($21,45$)$=3$

If we divide the fraction by HCF we get the equivalent fraction.

Therefore,

$\frac{21÷3}{45÷3}=\frac{7}{15}$

Step 2: Checking the options

From option(A), HCF($14,28$)$=14$

After dividing the fraction by the HCF we get $\frac{14÷14}{28÷14}=\frac{1}{2}$

From option(B), HCF($7,9$)$=1$

So the fraction in option(B) is in simplest form.

From option(C), HCF($21,30$)$=3$

After dividing the fraction in option(C) we get $\frac{21÷3}{30÷3}=\frac{7}{10}$

From option(D), HCF($14,30$)$=2$

$\frac{14÷2}{30÷2}=\frac{7}{15}$

Hence, option (D) is the correct answer.