Solve 102/5-7/9*6

$$10 \frac { 2 } { 5 } - \frac { 7 } { 9 } \times 6$$

Evaluate

$$\frac{86}{15}\approx 5.733333333$$

Solution Steps

Multiply 10 and 5 to get 50.

$$\frac{50+2}{5}-\frac{7}{9}\times 6$$

Add 50 and 2 to get 52.

$$\frac{52}{5}-\frac{7}{9}\times 6$$

Express \frac{7}{9}\times 6 as a single fraction.

$$\frac{52}{5}-\frac{7\times 6}{9}$$

Multiply 7 and 6 to get 42.

$$\frac{52}{5}-\frac{42}{9}$$

Reduce the fraction \frac{42}{9} to lowest terms by extracting and canceling out 3.

$$\frac{52}{5}-\frac{14}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{52}{5} and \frac{14}{3} to fractions with denominator 15.

$$\frac{156}{15}-\frac{70}{15}$$

Since \frac{156}{15} and \frac{70}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{156-70}{15}$$

Subtract 70 from 156 to get 86.

$$\frac{86}{15}$$

Factor

$$\frac{2 \cdot 43}{3 \cdot 5} = 5\frac{11}{15} = 5.733333333333333$$