Solve 95/8+23/12+33/16

$$9 \frac { 5 } { 8 } + 2 \frac { 3 } { 12 } + 3 \frac { 3 } { 16 }$$

Evaluate

$$\frac{241}{16}=15.0625$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+5}{8}+\frac{2\times 12+3}{12}+\frac{3\times 16+3}{16}$$

Add 72 and 5 to get 77.

$$\frac{77}{8}+\frac{2\times 12+3}{12}+\frac{3\times 16+3}{16}$$

Multiply 2 and 12 to get 24.

$$\frac{77}{8}+\frac{24+3}{12}+\frac{3\times 16+3}{16}$$

Add 24 and 3 to get 27.

$$\frac{77}{8}+\frac{27}{12}+\frac{3\times 16+3}{16}$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$\frac{77}{8}+\frac{9}{4}+\frac{3\times 16+3}{16}$$

Least common multiple of 8 and 4 is 8. Convert \frac{77}{8} and \frac{9}{4} to fractions with denominator 8.

$$\frac{77}{8}+\frac{18}{8}+\frac{3\times 16+3}{16}$$

Since \frac{77}{8} and \frac{18}{8} have the same denominator, add them by adding their numerators.

$$\frac{77+18}{8}+\frac{3\times 16+3}{16}$$

Add 77 and 18 to get 95.

$$\frac{95}{8}+\frac{3\times 16+3}{16}$$

Multiply 3 and 16 to get 48.

$$\frac{95}{8}+\frac{48+3}{16}$$

Add 48 and 3 to get 51.

$$\frac{95}{8}+\frac{51}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{95}{8} and \frac{51}{16} to fractions with denominator 16.

$$\frac{190}{16}+\frac{51}{16}$$

Since \frac{190}{16} and \frac{51}{16} have the same denominator, add them by adding their numerators.

$$\frac{190+51}{16}$$

Add 190 and 51 to get 241.

$$\frac{241}{16}$$

Factor

$$\frac{241}{2 ^ {4}} = 15\frac{1}{16} = 15.0625$$