Question

How is \[7\dfrac{1}{8}\] represented as percentage?

Answer 1

Hint: In this problem, we have to represent the given mixed fraction into its percentage. We can first convert the mixed fraction into its standard fraction form. We can then convert the fraction into its decimal form. We know that a decimal value can be converted into its percentage by multiplying the number 100 to it. We can then find the percentage of the given fraction.

Complete step-by-step solution:
We know that the given mixed fraction to be converted into its percentage is \[7\dfrac{1}{8}\].
We can now convert the above mixed fraction into its standard form.
We can convert it by multiplying 7 and 8 and adding the result to the number 1, then replace it in the numerator, we get
\[\Rightarrow \dfrac{\left( 7\times 8 \right)+1}{8}=\dfrac{15}{8}\]
We can now convert the above fraction into its decimal by dividing it, we get
\[\Rightarrow \dfrac{15}{8}=1.875\]
We can see that, we got a decimal number which can be multiplied with 100 to get a percentage, we get
\[\Rightarrow 1.875\times 100=187.5\%\]
Therefore, the percentage of the given mixed fraction \[7\dfrac{1}{8}\] is \[187.5\%\].

Note: Students make mistakes while converting the mixed fraction into its standard form, which is done by multiplying the whole number part and the denominator and adding the result to the numerator then write the result above the denominator. We should also remember that the decimal number is converted into its percentage by multiplying the number 100 to it.