Question

How do you write $1\dfrac{7}{8}$ as an improper fraction?

Answer 1

Hint: We know that when we talk about the fractional part of any object then there is one is equal to the whole part of the object and when we say that any object is the $\dfrac{1}{2}$ it means that we two equal parts of an object.

Complete step by step Solution:
Given that – we have to write the $1\dfrac{7}{8}$ as the improper fraction
Now for writing the $1\dfrac{7}{8}$ we can write it as
$ = 1 + \dfrac{7}{8}$
Above fraction means that we $1$ full object and another object’s $7$ parts we have from the total $8$ parts
Now we can write it as $\dfrac{8}{8} + \dfrac{7}{8}$
It will help us for solving the fraction addition because with the same base we have just added the numerator and our denominator remain as it is
So now after solving the above fraction addition we will get
$ = \dfrac{8}{8} + \dfrac{7}{8} = \dfrac{{15}}{8}$

Therefore, our fraction’s $1\dfrac{7}{8}$ improper fraction is the $\dfrac{{15}}{8}$ which is our required answer.

Note: We can directly solve it from a basic formula for converting the proper fraction to improper fraction which is very easy and quick suppose your proper fraction is $a\dfrac{b}{c}$ then the improper fraction is the
$\dfrac{{a \times c + b}}{c}$ by using this formula, we can convert it easily.