Solve 37/30-13/20

$$3 \frac { 7 } { 30 } - 1 \frac { 3 } { 20 }$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Multiply 3 and 30 to get 90.

$$\frac{90+7}{30}-\frac{1\times 20+3}{20}$$

Add 90 and 7 to get 97.

$$\frac{97}{30}-\frac{1\times 20+3}{20}$$

Multiply 1 and 20 to get 20.

$$\frac{97}{30}-\frac{20+3}{20}$$

Add 20 and 3 to get 23.

$$\frac{97}{30}-\frac{23}{20}$$

Least common multiple of 30 and 20 is 60. Convert \frac{97}{30} and \frac{23}{20} to fractions with denominator 60.

$$\frac{194}{60}-\frac{69}{60}$$

Since \frac{194}{60} and \frac{69}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{194-69}{60}$$

Subtract 69 from 194 to get 125.

$$\frac{125}{60}$$

Reduce the fraction \frac{125}{60} to lowest terms by extracting and canceling out 5.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$