Solve 471/2-197/8/2

$$\frac { 47 \frac { 1 } { 2 } - 19 \frac { 7 } { 8 } } { 2 }$$

Evaluate

$$\frac{221}{16}=13.8125$$

Solution Steps

Multiply 47 and 2 to get 94.

$$\frac{\frac{94+1}{2}-\frac{19\times 8+7}{8}}{2}$$

Add 94 and 1 to get 95.

$$\frac{\frac{95}{2}-\frac{19\times 8+7}{8}}{2}$$

Multiply 19 and 8 to get 152.

$$\frac{\frac{95}{2}-\frac{152+7}{8}}{2}$$

Add 152 and 7 to get 159.

$$\frac{\frac{95}{2}-\frac{159}{8}}{2}$$

Least common multiple of 2 and 8 is 8. Convert \frac{95}{2} and \frac{159}{8} to fractions with denominator 8.

$$\frac{\frac{380}{8}-\frac{159}{8}}{2}$$

Since \frac{380}{8} and \frac{159}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{380-159}{8}}{2}$$

Subtract 159 from 380 to get 221.

$$\frac{\frac{221}{8}}{2}$$

Express \frac{\frac{221}{8}}{2} as a single fraction.

$$\frac{221}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$\frac{221}{16}$$

Factor

$$\frac{13 \cdot 17}{2 ^ {4}} = 13\frac{13}{16} = 13.8125$$