Solve 43/16+27/8

$$4 \frac{ 3 }{ 16 } +2 \frac{ 7 }{ 8 }$$

Evaluate

$$\frac{113}{16}=7.0625$$

Solution Steps

Multiply 4 and 16 to get 64.

$$\frac{64+3}{16}+\frac{2\times 8+7}{8}$$

Add 64 and 3 to get 67.

$$\frac{67}{16}+\frac{2\times 8+7}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{67}{16}+\frac{16+7}{8}$$

Add 16 and 7 to get 23.

$$\frac{67}{16}+\frac{23}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{67}{16} and \frac{23}{8} to fractions with denominator 16.

$$\frac{67}{16}+\frac{46}{16}$$

Since \frac{67}{16} and \frac{46}{16} have the same denominator, add them by adding their numerators.

$$\frac{67+46}{16}$$

Add 67 and 46 to get 113.

$$\frac{113}{16}$$

Factor

$$\frac{113}{2 ^ {4}} = 7\frac{1}{16} = 7.0625$$