Question

1. add or subtract the mixed numbers. 2\frac{2}{3}-4\frac{3}{5} -1\frac{14}{15} 6\frac{1}{3} -2\frac{4}{15} 2\frac{1}{15}

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3}$ and $4\frac{3}{5}=\frac{4\times5+3}{5}=\frac{23}{5}$

Step2: Find a common - denominator

The common denominator of 3 and 5 is 15. So $\frac{8}{3}=\frac{8\times5}{3\times5}=\frac{40}{15}$ and $\frac{23}{5}=\frac{23\times3}{5\times3}=\frac{69}{15}$

Step3: Subtract the fractions

$\frac{40}{15}-\frac{69}{15}=\frac{40 - 69}{15}=-\frac{29}{15}$

Step4: Convert the improper fraction back to a mixed number

$-\frac{29}{15}=- 1\frac{14}{15}$

Answer:

A. $-1\frac{14}{15}$