Solve 134/5-92/15=

$$13 \frac { 4 } { 5 } - 9 \frac { 2 } { 15 } =$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Multiply 13 and 5 to get 65.

$$\frac{65+4}{5}-\frac{9\times 15+2}{15}$$

Add 65 and 4 to get 69.

$$\frac{69}{5}-\frac{9\times 15+2}{15}$$

Multiply 9 and 15 to get 135.

$$\frac{69}{5}-\frac{135+2}{15}$$

Add 135 and 2 to get 137.

$$\frac{69}{5}-\frac{137}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{69}{5} and \frac{137}{15} to fractions with denominator 15.

$$\frac{207}{15}-\frac{137}{15}$$

Since \frac{207}{15} and \frac{137}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{207-137}{15}$$

Subtract 137 from 207 to get 70.

$$\frac{70}{15}$$

Reduce the fraction \frac{70}{15} to lowest terms by extracting and canceling out 5.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$