Question

How do we convert the improper fraction $\dfrac{7}{5}$ into mixed numbers?

Answer 1

Hint: In order to the question, firstly we will go through the steps or the whole conversion steps of improper fraction into the mixed fraction. And then follow each step for the conversion by dividing the numerator by denominator.

Complete step by step answer:
Firstly, we will write the steps to convert improper fraction into the mixed fraction as follows:-

Step-1: Obtain the improper fraction.

Step-2: Divide the numerator by the denominator and then we will get the remainder and quotient both.

Step-3: Write the converted mixed fraction as: $Quotient\dfrac{{\operatorname{Re} mainder}}{{Deno\min ator}}$ .

Now, we are going to convert the given improper fraction into the mixed fraction by following the above steps.

As we know if a fraction has the same number as numerator and denominator, it makes a whole. Here in $\dfrac{7}{5}$ we can take out $\dfrac{5}{5}$ to make a whole number and now we have the remaining fraction is $\dfrac{2}{5}$ . So, $\dfrac{7}{5}$ can be written in mixed numbers as $1\dfrac{2}{5}$ .

In actuality, $\dfrac{7}{5}$ means $7 \div 5$ . When 7 is divisible by 5, we get 1 as quotient and 2 as remainder.

To convert the given improper fraction into a mixed fraction we place the quotient 1 as the whole number, the remainder 2 as the numerator and the divisor 5 as the denominator or the proper fraction.

Note:- Sometimes Improper fractions are more useful than mixed numbers. For instance, if we're going to multiply two fractions, improper fractions are better because we just have to multiply across the numerator and the denominator to get our answer.