Question

Convert fraction into decimal:
\[\dfrac{7}{8}\]

Answer 1

Hint: We are given a fraction and we are asked to convert it to the decimal equivalent. We can do this by carrying out the long division method, that is, dividing the number 7 by the number 8, that is, dividing the numerator by the denominator. And after the division, we will get the decimal equivalent of the given fraction as the quotient in the long division method. Hence, we will have the decimal form of the given fraction.

Complete step by step answer:
According to the given question, we are given a fraction and we are asked to find the decimal equivalent of the given fraction.
 The fraction that we have is,
\[\dfrac{7}{8}\]
In order to find the decimal equivalent, we will carry out the long division method. In this, we will divide the number 7 by the number 8, that is, we will divide the numerator by the denominator. And we have the long division as follows,
\[8\overset{0.875}{\overline{\left){\begin{align}
  & 7 \\
 & \underline{-0} \\
 & 70 \\
 & \underline{-64} \\
 & 60 \\
 & \underline{-56} \\
 & 40 \\
 & \underline{-40} \\
 & \_0\_ \\
\end{align}}\right.}}\]
And so we get the decimal equivalent of the given fraction as the quotient of the above long division.
So, we have,
\[\dfrac{7}{8}=0.875\]
Therefore, the decimal form of the given fraction, \[\dfrac{7}{8}=0.875\].

Note: The decimal equivalent can also be obtained by making the denominator a multiple of 10 and we can do that by multiplying and dividing the fraction by certain terms.
The fraction that we have is,
\[\dfrac{7}{8}\]
We can write the denominator as,
\[\Rightarrow \dfrac{7}{2\times 2\times 2}\]
To make the denominator a multiple of 10, we have to multiply three 5’s to the three 2’s, and so we get,
\[\Rightarrow \dfrac{7}{2\times 2\times 2}.\dfrac{5\times 5\times 5}{5\times 5\times 5}\]
\[\Rightarrow \dfrac{875}{1000}=0.875\]
Therefore, the decimal form of the given fraction, \[\dfrac{7}{8}=0.875\].