Solve 73/16-15/8

$$7 \frac{ 3 }{ 16 } -1 \frac{ 5 }{ 8 }$$

Evaluate

$$\frac{89}{16}=5.5625$$

Solution Steps

Multiply 7 and 16 to get 112.

$$\frac{112+3}{16}-\frac{1\times 8+5}{8}$$

Add 112 and 3 to get 115.

$$\frac{115}{16}-\frac{1\times 8+5}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{115}{16}-\frac{8+5}{8}$$

Add 8 and 5 to get 13.

$$\frac{115}{16}-\frac{13}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{115}{16} and \frac{13}{8} to fractions with denominator 16.

$$\frac{115}{16}-\frac{26}{16}$$

Since \frac{115}{16} and \frac{26}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-26}{16}$$

Subtract 26 from 115 to get 89.

$$\frac{89}{16}$$

Factor

$$\frac{89}{2 ^ {4}} = 5\frac{9}{16} = 5.5625$$