Solve 83/16-35/8

$$8 \frac { 3 } { 16 } - 3 \frac { 5 } { 8 }$$

Evaluate

$$\frac{73}{16}=4.5625$$

Solution Steps

Multiply 8 and 16 to get 128.

$$\frac{128+3}{16}-\frac{3\times 8+5}{8}$$

Add 128 and 3 to get 131.

$$\frac{131}{16}-\frac{3\times 8+5}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{131}{16}-\frac{24+5}{8}$$

Add 24 and 5 to get 29.

$$\frac{131}{16}-\frac{29}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{131}{16} and \frac{29}{8} to fractions with denominator 16.

$$\frac{131}{16}-\frac{58}{16}$$

Since \frac{131}{16} and \frac{58}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{131-58}{16}$$

Subtract 58 from 131 to get 73.

$$\frac{73}{16}$$

Factor

$$\frac{73}{2 ^ {4}} = 4\frac{9}{16} = 4.5625$$