Question

15 - 7\frac{3}{5}+(- 3\frac{2}{3})

Explanation:

Step1: Convert mixed - numbers to improper fractions

$-7\frac{3}{5}=-\frac{7\times5 + 3}{5}=-\frac{35+3}{5}=-\frac{38}{5}$ and $-3\frac{2}{3}=-\frac{3\times3 + 2}{3}=-\frac{9 + 2}{3}=-\frac{11}{3}$

Step2: Find a common denominator

The common denominator of 5 and 3 is 15. So $-\frac{38}{5}=-\frac{38\times3}{5\times3}=-\frac{114}{15}$ and $-\frac{11}{3}=-\frac{11\times5}{3\times5}=-\frac{55}{15}$

Step3: Add the fractions

$-\frac{114}{15}+(-\frac{55}{15})=-\frac{114 + 55}{15}=-\frac{169}{15}=- 11\frac{4}{15}$

Answer:

$-11\frac{4}{15}$