Solve 33/16+41/2+33/16+81/4

$$3 \frac { 3 } { 16 } + 4 \frac { 1 } { 2 } + 3 \frac { 3 } { 16 } + 8 \frac { 1 } { 4 }$$

Evaluate

$$\frac{153}{8}=19.125$$

Solution Steps

Multiply 3 and 16 to get 48.

$$\frac{48+3}{16}+\frac{4\times 2+1}{2}+\frac{3\times 16+3}{16}+\frac{8\times 4+1}{4}$$

Add 48 and 3 to get 51.

$$\frac{51}{16}+\frac{4\times 2+1}{2}+\frac{3\times 16+3}{16}+\frac{8\times 4+1}{4}$$

Multiply 4 and 2 to get 8.

$$\frac{51}{16}+\frac{8+1}{2}+\frac{3\times 16+3}{16}+\frac{8\times 4+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{51}{16}+\frac{9}{2}+\frac{3\times 16+3}{16}+\frac{8\times 4+1}{4}$$

Least common multiple of 16 and 2 is 16. Convert \frac{51}{16} and \frac{9}{2} to fractions with denominator 16.

$$\frac{51}{16}+\frac{72}{16}+\frac{3\times 16+3}{16}+\frac{8\times 4+1}{4}$$

Since \frac{51}{16} and \frac{72}{16} have the same denominator, add them by adding their numerators.

$$\frac{51+72}{16}+\frac{3\times 16+3}{16}+\frac{8\times 4+1}{4}$$

Add 51 and 72 to get 123.

$$\frac{123}{16}+\frac{3\times 16+3}{16}+\frac{8\times 4+1}{4}$$

Multiply 3 and 16 to get 48.

$$\frac{123}{16}+\frac{48+3}{16}+\frac{8\times 4+1}{4}$$

Add 48 and 3 to get 51.

$$\frac{123}{16}+\frac{51}{16}+\frac{8\times 4+1}{4}$$

Since \frac{123}{16} and \frac{51}{16} have the same denominator, add them by adding their numerators.

$$\frac{123+51}{16}+\frac{8\times 4+1}{4}$$

Add 123 and 51 to get 174.

$$\frac{174}{16}+\frac{8\times 4+1}{4}$$

Reduce the fraction \frac{174}{16} to lowest terms by extracting and canceling out 2.

$$\frac{87}{8}+\frac{8\times 4+1}{4}$$

Multiply 8 and 4 to get 32.

$$\frac{87}{8}+\frac{32+1}{4}$$

Add 32 and 1 to get 33.

$$\frac{87}{8}+\frac{33}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{87}{8} and \frac{33}{4} to fractions with denominator 8.

$$\frac{87}{8}+\frac{66}{8}$$

Since \frac{87}{8} and \frac{66}{8} have the same denominator, add them by adding their numerators.

$$\frac{87+66}{8}$$

Add 87 and 66 to get 153.

$$\frac{153}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 17}{2 ^ {3}} = 19\frac{1}{8} = 19.125$$