Question

1. add or subtract the mixed numbers. -1\frac{2}{3}+2\frac{3}{4}

-2\frac{1}{2}
1\frac{1}{12}
4\frac{2}{3}

Explanation:

Step1: Convert mixed - numbers to improper fractions

$-1\frac{2}{3}=-\frac{1\times3 + 2}{3}=-\frac{5}{3}$ and $2\frac{3}{4}=\frac{2\times4+3}{4}=\frac{11}{4}$

Step2: Find a common denominator

The common denominator of 3 and 4 is 12. So, $-\frac{5}{3}=-\frac{5\times4}{3\times4}=-\frac{20}{12}$ and $\frac{11}{4}=\frac{11\times3}{4\times3}=\frac{33}{12}$

Step3: Add the fractions

$-\frac{20}{12}+\frac{33}{12}=\frac{-20 + 33}{12}=\frac{13}{12}$

Step4: Convert the improper fraction back to a mixed - number

$\frac{13}{12}=1\frac{1}{12}$

Answer:

$1\frac{1}{12}$