Question

How do you convert $\dfrac{{13}}{4}$ to a mixed fraction?

Answer 1

Hint:To convert the given fraction into mixed fraction, divide the numerator of the fraction with the denominator and then write the whole part as whole number, remainder as the numerator and the divisor as the denominator of the mixed fraction.

Complete step by step answer:
When a fraction is improper, we convert it to mixed fraction in order to express it in a simplified form. Improper fraction is a fraction in which the numerator part is greater than the denominator part. We can see that in the given fraction $\dfrac{{13}}{4}$ the numerator $13$ is greater than the denominator $4$.

To convert an improper fraction into mixed fraction, we will first divide the numerator with denominator and write the quotient and the remainder we get,
$13 \div 4 = 3$ as quotient and $1$ as remainder
The quotient will be written as the whole number and the remainder will be written as the numerator of the mixed fraction. So what about the denominator? The divisor in the above division or the denominator of the given fraction will stay as the denominator of mixed fraction.

Therefore the required mixed fraction will be written as $3\dfrac{1}{4}$.

Note:After getting the mixed fraction, simplify it if required by cancelling out the common factor between the numerator and denominator that will be the final answer. We have learnt how to convert improper fraction into mixed form, here is the formula for vice versa conversion that is converting mixed fraction to improper fraction, $a\dfrac{b}{c} = \dfrac{{a \times c + b}}{c}$.