Solve 37/19-30/50

$$\frac { 37 } { 19 } - \frac { 30 } { 50 }$$

Evaluate

$$\frac{128}{95}\approx 1.347368421$$

Solution Steps

Reduce the fraction \frac{30}{50} to lowest terms by extracting and canceling out 10.

$$\frac{37}{19}-\frac{3}{5}$$

Least common multiple of 19 and 5 is 95. Convert \frac{37}{19} and \frac{3}{5} to fractions with denominator 95.

$$\frac{185}{95}-\frac{57}{95}$$

Since \frac{185}{95} and \frac{57}{95} have the same denominator, subtract them by subtracting their numerators.

$$\frac{185-57}{95}$$

Subtract 57 from 185 to get 128.

$$\frac{128}{95}$$

Factor

$$\frac{2 ^ {7}}{5 \cdot 19} = 1\frac{33}{95} = 1.3473684210526315$$