Question

Write two fractions that are equivalent to the given fraction.

$\frac{6}{9}$

Short answer

The two equivalent fractions are $\frac{12}{18}\&\frac{18}{27}.$

Step-by-step solution

Step  1. Apply the concept of equivalent fraction

In this, simply use the concept of equivalent fraction such that multiply the numerator and denominator with same number that is $1,2,3,4,........$ to get the first, second, third, fourth, etc. equivalent fraction.

Step 2. Find the first equivalent fraction

Here, the fraction is $\frac{6}{9}$.

Now, multiply the numerator and denominator by $2$ to get the first equivalent fraction,

$\frac{6}{9}=\frac{6\times 2}{9\times 2}=\frac{12}{18}$

Hence, the first equivalent fraction is $\frac{12}{18}$.

Step 3. Finding the second equivalent fraction

Here, the fraction is $\frac{6}{9}$.

Now, multiply the numerator and denominator by $3$ to get the second equivalent fraction,

$\frac{6}{9}=\frac{6\times 3}{9\times 3}=\frac{18}{27}$

Hence, the second equivalent fraction is $\frac{18}{27}$.