Question

How will you convert $7\dfrac{3}{5}$ to improper fraction?

Answer 1

Hint:The fraction given in the question is the mixed fraction. The other types of fractions are proper fraction and improper fraction. Improper fractions are those in which the numerator is greater than the denominator.

Complete Step by Step Solution:
The fraction given in the question is $7\dfrac{3}{5}$. It is a mixed fraction. A mixed fraction in the form of the fraction which can be defined as the ones having the fraction and a whole number.
We have to convert the above-given fraction into an improper fraction. So, we must know something about it. Improper fractions can be defined as the fraction whose numerator is greater than the denominator. An improper fraction is always greater than one.
Now, we have to convert a mixed fraction into an improper fraction. Therefore, we should know how to convert a mixed fraction into an improper fraction.
Step – 1: Multiply the denominator of the fractional part of a mixed fraction with the whole number part of a mixed fraction.
Step – 2: Find the sum of the numerator of the fractional part of a mixed fraction with the result of step 1.
Step – 3: Keep the denominator of the fraction the same as when it was in the form of a mixed fraction.
Step – 4: Put the result of step 2 in the place of the numerator and will get the mixed fraction converted to an improper fraction.
Now, we have to convert $7\dfrac{3}{5}$ to an improper fraction. So, applying all the above steps of converting a mixed fraction into an improper fraction –
Step – 1: $7 \times 5 = 35$
Step – 2: $3 + 35 = 38$
Step – 3: $\dfrac{{38}}{5}$
In the fraction in step – 4, the numerator is greater than the denominator. Therefore, this is the required improper fraction.

Note: We can also convert $7\dfrac{3}{5}$ to improper fraction by another method which is –
We know that when 35 is divided by 5 then we get 7 as the answer so, we can put $\dfrac{{35}}{5}$ in place of 7 and add the fractional part with it –
$ \Rightarrow \dfrac{{35}}{5} + \dfrac{3}{5} = \dfrac{{38}}{5}$.