Solve 67.5+(2/9)8

$$67.5 + ( \frac { 2 } { 9 } ) 8$$

Evaluate

$$\frac{1247}{18}\approx 69.277777778$$

Solution Steps

Express \frac{2}{9}\times 8 as a single fraction.

$$67.5+\frac{2\times 8}{9}$$

Multiply 2 and 8 to get 16.

$$67.5+\frac{16}{9}$$

Convert decimal number 67.5 to fraction \frac{675}{10}. Reduce the fraction \frac{675}{10} to lowest terms by extracting and canceling out 5.

$$\frac{135}{2}+\frac{16}{9}$$

Least common multiple of 2 and 9 is 18. Convert \frac{135}{2} and \frac{16}{9} to fractions with denominator 18.

$$\frac{1215}{18}+\frac{32}{18}$$

Since \frac{1215}{18} and \frac{32}{18} have the same denominator, add them by adding their numerators.

$$\frac{1215+32}{18}$$

Add 1215 and 32 to get 1247.

$$\frac{1247}{18}$$

Factor

$$\frac{29 \cdot 43}{2 \cdot 3 ^ {2}} = 69\frac{5}{18} = 69.27777777777777$$