Solve 72/15-37/15

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

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 7 and 15 to get 105.

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

Add 105 and 2 to get 107.

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

Multiply 3 and 15 to get 45.

$$\frac{107}{15}-\frac{45+7}{15}$$

Add 45 and 7 to get 52.

$$\frac{107}{15}-\frac{52}{15}$$

Since \frac{107}{15} and \frac{52}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{107-52}{15}$$

Subtract 52 from 107 to get 55.

$$\frac{55}{15}$$

Reduce the fraction \frac{55}{15} to lowest terms by extracting and canceling out 5.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$