Solve 69.5+(12.5+7/9)*5

$$69.5+( \frac{ 12.5+7 }{ 9 } ) \times 5$$

Evaluate

$$\frac{241}{3}\approx 80.333333333$$

Solution Steps

Add 12.5 and 7 to get 19.5.

$$69.5+\frac{19.5}{9}\times 5$$

Expand \frac{19.5}{9} by multiplying both numerator and the denominator by 10.

$$69.5+\frac{195}{90}\times 5$$

Reduce the fraction \frac{195}{90} to lowest terms by extracting and canceling out 15.

$$69.5+\frac{13}{6}\times 5$$

Express \frac{13}{6}\times 5 as a single fraction.

$$69.5+\frac{13\times 5}{6}$$

Multiply 13 and 5 to get 65.

$$69.5+\frac{65}{6}$$

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.

$$\frac{139}{2}+\frac{65}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{139}{2} and \frac{65}{6} to fractions with denominator 6.

$$\frac{417}{6}+\frac{65}{6}$$

Since \frac{417}{6} and \frac{65}{6} have the same denominator, add them by adding their numerators.

$$\frac{417+65}{6}$$

Add 417 and 65 to get 482.

$$\frac{482}{6}$$

Reduce the fraction \frac{482}{6} to lowest terms by extracting and canceling out 2.

$$\frac{241}{3}$$

Factor

$$\frac{241}{3} = 80\frac{1}{3} = 80.33333333333333$$