Question

Convert the mixed number $-7\frac{2}{3}$into an improper fraction.

Answer 1

To convert the following fraction into an improper fraction, multiply the integer part by the denominator and to this product add the numerator. This number over the denominator is the required improper fraction.

Thus, $-7\frac{2}{3}=-\left(\frac{7\times 3+2}{3}\right)=-\frac{23}{3}$

Hence, the required fraction is $-\frac{23}{3}$.