Question

2 3/4+3 5/8 simplified

Answer 1

$2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}$

Solution:

Given expression is $2\frac{3}{4}+3 \frac{5}{8}$.

To simplify the expression $2\frac{3}{4}+3 \frac{5}{8}.$

Let us first convert the mixed fraction into improper fraction.

$2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}$

            $=\frac{8+ 3}{4}+ \frac{24+5}{8}$

            $=\frac{11}{4}+ \frac{29}{8}$

Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

            $=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}$

            $=\frac{22}{8}+ \frac{29}{8}$

            $=\frac{51}{8}$

Now, divide 51 by 8 and again write it in the mixed fraction.

             $=6\frac{3}{8}$

$2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}$

Hence, the simplified answer is $6\frac{3}{8}$.