Question

How do you write 0.675 as a percentage?

Answer 1

Hint: To write the given decimal as percent we will first write the fractional form of the given number. Now we know that the percentage are nothing but fractions with denominator 100. Hence we will simplify the fraction such that we get 100 in denominator and hence we have the given number in percent form.

Complete step-by-step solution:
Now we are given with a decimal. We know that each decimal which is terminating or recurring can be written in fractional form. Now we have a terminating decimal. To write the number in fractional form we will simply write the denominator as ${{10}^{n}}$ where n is the number of digits after decimals.
Hence we can write $0.675$ as $\dfrac{675}{{{10}^{3}}}$
Now hence the fractional form of the given number is $\dfrac{675}{1000}$ .
Now we want to write the given fraction as percentage.
Percentages are nothing but fractions with denominators as 100.
Hence to write the number in percentage we will divide the numerator and denominator by 10.
Hence we get the fraction as $\dfrac{67.5}{100}$ .
Hence the given number in percentage is 67.5 percent.

Note: Now note that to write any decimal in percentage just multiply the number by 100. If we want to convert a fraction in percentage then we will try to write the fraction such that the denominator of the fraction is 100.