Solve 69.5+5(12.5-8)/12

$$69.5 + \frac { 5 ( 12.5 - 8 ) } { 12 }$$

Evaluate

$$71.375$$

Solution Steps

Subtract 8 from 12.5 to get 4.5.

$$69.5+\frac{5\times 4.5}{12}$$

Multiply 5 and 4.5 to get 22.5.

$$69.5+\frac{22.5}{12}$$

Expand \frac{22.5}{12} by multiplying both numerator and the denominator by 10.

$$69.5+\frac{225}{120}$$

Reduce the fraction \frac{225}{120} to lowest terms by extracting and canceling out 15.

$$69.5+\frac{15}{8}$$

Convert decimal number 69.5 to fraction \frac{695}{10}. Reduce the fraction \frac{695}{10} to lowest terms by extracting and canceling out 5.

$$\frac{139}{2}+\frac{15}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{139}{2} and \frac{15}{8} to fractions with denominator 8.

$$\frac{556}{8}+\frac{15}{8}$$

Since \frac{556}{8} and \frac{15}{8} have the same denominator, add them by adding their numerators.

$$\frac{556+15}{8}$$

Add 556 and 15 to get 571.

$$\frac{571}{8}$$

Factor

$$\frac{571}{2 ^ {3}} = 71\frac{3}{8} = 71.375$$