Question

State whether the following statement is True or False.

$\frac{16}{20}$ and $\frac{12}{16}$ are equivalent fraction

• A. True
• B. False

Answer 1

The correct option is B False

Check the fractions whether they are equivalent or not

$\because$ The common factor of both numerator and denominator of $\frac{16}{20}$ is $4$.

$\therefore$ The simplified form of $\frac{16}{20}$ is $\frac{16÷4}{20÷4}=\frac{4}{5}$

Now,

$\because$ The common factor of both numerator and denominator of $\frac{12}{16}$ is $4$.

$\therefore$ The simplified form of $\frac{12}{16}$ is $\frac{12÷4}{16÷4}=\frac{3}{4}$

$\because$ The simplified form of $\frac{16}{20}$ and $\frac{12}{16}$ are $\frac{4}{5}\ne \frac{3}{5}$

$\therefore$ $\frac{16}{20}$ and $\frac{12}{16}$ are not equivalent fraction.

Hence, the given statement is false.