Solve 102/5-1/9*6

$$10 \frac { 2 } { 5 } - \frac { 1 } { 9 } \times 6$$

Evaluate

$$\frac{146}{15}\approx 9.733333333$$

Solution Steps

Multiply 10 and 5 to get 50.

$$\frac{50+2}{5}-\frac{1}{9}\times 6$$

Add 50 and 2 to get 52.

$$\frac{52}{5}-\frac{1}{9}\times 6$$

Multiply \frac{1}{9} and 6 to get \frac{6}{9}.

$$\frac{52}{5}-\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{52}{5}-\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{52}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{156}{15}-\frac{10}{15}$$

Since \frac{156}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{156-10}{15}$$

Subtract 10 from 156 to get 146.

$$\frac{146}{15}$$

Factor

$$\frac{2 \cdot 73}{3 \cdot 5} = 9\frac{11}{15} = 9.733333333333333$$