Solve 72/15-37/5

$$7 \frac { 2 } { 15 } - 3 \frac { 7 } { 5 }$$

Evaluate

$$\frac{41}{15}\approx 2.733333333$$

Solution Steps

Multiply 7 and 15 to get 105.

$$\frac{105+2}{15}-\frac{3\times 5+7}{5}$$

Add 105 and 2 to get 107.

$$\frac{107}{15}-\frac{3\times 5+7}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{107}{15}-\frac{15+7}{5}$$

Add 15 and 7 to get 22.

$$\frac{107}{15}-\frac{22}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{107}{15} and \frac{22}{5} to fractions with denominator 15.

$$\frac{107}{15}-\frac{66}{15}$$

Since \frac{107}{15} and \frac{66}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{107-66}{15}$$

Subtract 66 from 107 to get 41.

$$\frac{41}{15}$$

Factor

$$\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334$$