Question

How do you write $\dfrac{{25}}{7}$ as a mixed fraction?

Answer 1

Hint: First find the largest multiple of seven that is less than the numerator. Split the fraction into two terms. One using the multiple you just found, and the other using the remainder of the numerator. Write the first term as a whole number and write the two terms as a single fraction.

Complete step by step answer:
Here we will first find the largest multiple of seven that is less than the numerator,
The numerator is $25$
The largest multiple of seven that is less than the numerator is $21$
Then we split the fraction into two terms. One using the multiple we just found, and the other using the remainder of the numerator.
So here we will get
$
   \Rightarrow \dfrac{{21 + 4}}{7} \\
   \Rightarrow \dfrac{{21}}{7} + \dfrac{4}{7} \\
$
Then we will write the first term as a whole number (which is sure to be possible if you did my first step correctly), and write the two terms as a single fraction.
$ \Rightarrow 3\dfrac{4}{7}$

So, we will write $\dfrac{{25}}{7}$ as a mixed fraction as $3\dfrac{4}{7}$.

Note: Here if you don’t find the correct largest multiple of denominator given to you, your answer will be wrong. So always check the $1st$ step of this question while solving this type of question.