Solve 56.5+(164/2-77/40)*9

$$56.5+( \frac{ \frac{ 164 }{ 2 } -77 }{ 40 } ) \times 9$$

Evaluate

$$57.625$$

Solution Steps

Divide 164 by 2 to get 82.

$$56.5+\frac{82-77}{40}\times 9$$

Subtract 77 from 82 to get 5.

$$56.5+\frac{5}{40}\times 9$$

Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.

$$56.5+\frac{1}{8}\times 9$$

Multiply \frac{1}{8} and 9 to get \frac{9}{8}.

$$56.5+\frac{9}{8}$$

Convert decimal number 56.5 to fraction \frac{565}{10}. Reduce the fraction \frac{565}{10} to lowest terms by extracting and canceling out 5.

$$\frac{113}{2}+\frac{9}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{113}{2} and \frac{9}{8} to fractions with denominator 8.

$$\frac{452}{8}+\frac{9}{8}$$

Since \frac{452}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{452+9}{8}$$

Add 452 and 9 to get 461.

$$\frac{461}{8}$$

Factor

$$\frac{461}{2 ^ {3}} = 57\frac{5}{8} = 57.625$$