Question

What is the decimal equivalent of \[{13}/{16}\;\]?

Answer 1

Hint: For solving this question you should know about the equivalent fractions. We can determine the equivalent fractions by just calculating the multiplication of the same fraction with the fraction. Or we can say that by taking the square, cube or so on we can calculate the equivalent fraction, or we can also calculate it by multiplying with the fraction of the same numerator and denominator.
But to solve the decimal equivalent we have to divide or solve the fraction completely which remains the same for all equivalent fractions.

Complete step by step solution:
According to our question we have to calculate the equivalent decimal for \[{13}/{16}\;\]. It means we have to determine the decimal value which will be equal to the \[{13}/{16}\;\] if we again solve them for fractional form.
So, as we can say that the ratio of the fraction is equal to its decimal equivalent. We can say that if we again multiply our decimal fractions from the equivalent fractions of \[\dfrac{13}{16}\] then again get the real fraction. Because the ratio of original fraction and the equivalent fraction remain same for all fractions and this rational value is equal to decimal equivalent.
So, if we see our question. Then we have to calculate the decimal equivalent.
For getting the decimal equivalent we have to divide 13 from 16.
So, we can also write it as,
\[\dfrac{13}{16}=\dfrac{6.5}{8}=\dfrac{3.25}{4}=\dfrac{1.625}{2}=0.8125\]
So, the equivalent decimal of \[\dfrac{13}{16}\] is equal to 0.8125.

Note: For calculating the equivalent decimal we always divide the numerator from the denominator. And the ratio comes that is the answer. But for the big fractional values it is impossible to divide them on paper. So, always reduce the fraction as much as possible and then divide it and find the decimal equivalent.