Question

How do we convert $\dfrac{{53}}{8}$ into a decimal and percent?

Answer 1

Hint: To solve this question, first we will discuss the steps to convert a given fraction into a decimal and then follow the steps to convert it into a decimal. And then convert the decimal into a percentage by multiplying 100 in both numerator and denominator. That’s how we will get the percentage form also.

Complete step by step solution:
Firstly, we will discuss how to convert fractions to decimals:
1. In fractions, the numerator is the number above the line and the denominator is the number below.
2. The line in a fraction that separates the numerator and the denominator represents division.
3. To convert a fraction to a decimal, divide the numerator by the denominator.
Now, the steps to convert $\dfrac{{53}}{8}$ into a decimal are as follows:-
Step-1: Address input parameters and values. Input parameters and values:
The fraction number: $\dfrac{{53}}{8}$.
Step-2: Now divide the numerator by the denominator. And we get the decimal form because 53 is not the multiple of 8.
Step-3: Write it as a decimal:
$\dfrac{{53}}{8} = 6.625$
Hence, 6.625 is the decimal representation for $\dfrac{{53}}{8}$.
Now, we will convert the same given fraction into percentage:
Step-1: To represent 6.625 in percentage, write 6.625 as a fraction:
$\dfrac{{6.625}}{1}$
Step-2: multiply 100 to both numerator and denominator:
$\begin{gathered}
\dfrac{{(6.625 \times 100)}}{{(1 \times 100)}} \\
= \dfrac{{662.5}}{{100}} \\
\end{gathered} $

Hence, $662.5\% $ is the percentage representation for $\dfrac{{53}}{8}$.

Note:
The shortcut to convert from decimal to percent is to move the decimal point 2 places to the right and add a percent sign. Or to convert a number with a decimal into a percent, multiply it by 100 and add the percent sign.