How can we convert \[\dfrac{5}{8}\] into decimal and percentage?
Answer
616.5k+ views
Hint:
In order to calculate the percentage of any fraction, multiply fraction by 100 and find the result. After getting the percentage, we can easily get the decimal value by shifting the decimal point two places to the left.
Formula used:
The formula used to calculate percentage of any fraction is \[\dfrac{a}{b} \times 100\]
Complete step by step solution:
Let we have given a fraction in the form of $\dfrac{a}{b}$,where b is not equal to 0. To get the percentage we need to multiply the fraction $\dfrac{a}{b}$ with 100.
In the given question we have given fraction as $\dfrac{5}{8}$
So, to calculate the percent from the fraction, we have to first find the decimal value of fraction $\dfrac{5}{8}$
Now, the fraction can be expressed in percentage by:
\[
\dfrac{5}{8} \times 100 = \dfrac{{500}}{8} \\
= \,\,\,62.5\% \\
\\
\]
Now, we have to express this percentage in decimal format.
\[62.5\% = \,\dfrac{{62.5}}{{100}}\, = \,0.625\]
The denominator is 100. So, we can calculate the decimal value by shifting the decimal point two places to the left of its former position.
Hence, the percentage value of the fraction is 62.5% and the decimal value of the same fraction is 0.625.
Note:
We need to put the percentage (%) sign after multiplying the fraction with 100.Calculation of decimal value from percentage is easier as we just need to shift the decimal point two places to the left as the denominator remains 100. The decimal as well as the fractional value represent the same quantity.
In order to calculate the percentage of any fraction, multiply fraction by 100 and find the result. After getting the percentage, we can easily get the decimal value by shifting the decimal point two places to the left.
Formula used:
The formula used to calculate percentage of any fraction is \[\dfrac{a}{b} \times 100\]
Complete step by step solution:
Let we have given a fraction in the form of $\dfrac{a}{b}$,where b is not equal to 0. To get the percentage we need to multiply the fraction $\dfrac{a}{b}$ with 100.
In the given question we have given fraction as $\dfrac{5}{8}$
So, to calculate the percent from the fraction, we have to first find the decimal value of fraction $\dfrac{5}{8}$
Now, the fraction can be expressed in percentage by:
\[
\dfrac{5}{8} \times 100 = \dfrac{{500}}{8} \\
= \,\,\,62.5\% \\
\\
\]
Now, we have to express this percentage in decimal format.
\[62.5\% = \,\dfrac{{62.5}}{{100}}\, = \,0.625\]
The denominator is 100. So, we can calculate the decimal value by shifting the decimal point two places to the left of its former position.
Hence, the percentage value of the fraction is 62.5% and the decimal value of the same fraction is 0.625.
Note:
We need to put the percentage (%) sign after multiplying the fraction with 100.Calculation of decimal value from percentage is easier as we just need to shift the decimal point two places to the left as the denominator remains 100. The decimal as well as the fractional value represent the same quantity.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
List of coprime numbers from 1 to 100 class 7 maths CBSE

Aeroplanes fly in which of the following layers of class 7 social science CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

Write a short note on the great bath of MohenjoDar class 7 social science CBSE

Differentiate between weather and climate How do they class 7 social science CBSE

Mark the following places in the given outline map class 7 social science CBSE


