Solve 37/30-13/2

$$3 \frac { 7 } { 30 } - 1 \frac { 3 } { 2 }$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Multiply 3 and 30 to get 90.

$$\frac{90+7}{30}-\frac{1\times 2+3}{2}$$

Add 90 and 7 to get 97.

$$\frac{97}{30}-\frac{1\times 2+3}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{97}{30}-\frac{2+3}{2}$$

Add 2 and 3 to get 5.

$$\frac{97}{30}-\frac{5}{2}$$

Least common multiple of 30 and 2 is 30. Convert \frac{97}{30} and \frac{5}{2} to fractions with denominator 30.

$$\frac{97}{30}-\frac{75}{30}$$

Since \frac{97}{30} and \frac{75}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{97-75}{30}$$

Subtract 75 from 97 to get 22.

$$\frac{22}{30}$$

Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$