Question

What is an equivalent ratio of $3:7$?

Answer 1

Hint: To find the equivalent ratio of $3:7$, first of all write the given ratio in fraction form. Then to obtain the equivalent ratio, multiply both numerator and denominator by any same number. Convert the fraction back to ratio. The obtained ratio will be an equivalent ratio of the given ratio.

Complete step by step solution:
In this question, we have to find the equivalent ratio of $3:7$.
First of all, what does equivalent ratio mean?
Equivalent ratio means two ratios that have the same value.
For example: $1:2$ and $5:10$. Here, $5:10$ can be further reduced to $1:2$. So, they are called equivalent ratios.
To find the equivalent ratio of a given number, first write down the given ratio as a fraction and then multiply both numerator and denominator with any same number.
In our question, the given ratio is $3:7$.
So, first of all let us write this ratio in fraction form.
$3:7 = \dfrac{3}{7}$
Now, multiply both numerator and denominator with 2.
$3:7 = \dfrac{3}{7} \times \dfrac{2}{2} = \dfrac{6}{{14}}$
Now, convert the obtained fraction into ratio.
Therefore, $\dfrac{6}{{14}} = 6:14$.
Hence, one equivalent ratio of $3:7$ is $6:14$.
We can obtain as many equivalent ratios as we want of a given number.

Note:
We have found the equivalent ratio using multiplication. Equivalent ratio can also be found using division. We have to divide the numerator and denominator by any 2 same numbers.
For example: $\dfrac{8}{{10}} \div \dfrac{2}{2} = \dfrac{4}{5}$. Hence, $\dfrac{4}{5}$ is an equivalent ratio of $\dfrac{8}{{10}}$.