Solve 61/2-5/8-15/16=

$$61 / 2 - 5 / 8 - 15 / 16 =$$

Evaluate

$$\frac{463}{16}=28.9375$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{61}{2} and \frac{5}{8} to fractions with denominator 8.

$$\frac{244}{8}-\frac{5}{8}-\frac{15}{16}$$

Since \frac{244}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{244-5}{8}-\frac{15}{16}$$

Subtract 5 from 244 to get 239.

$$\frac{239}{8}-\frac{15}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{239}{8} and \frac{15}{16} to fractions with denominator 16.

$$\frac{478}{16}-\frac{15}{16}$$

Since \frac{478}{16} and \frac{15}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{478-15}{16}$$

Subtract 15 from 478 to get 463.

$$\frac{463}{16}$$

Factor

$$\frac{463}{2 ^ {4}} = 28\frac{15}{16} = 28.9375$$