Solve 3/28-15/14=

$$\frac { 3 } { 28 } - 1 \frac { 5 } { 14 } =$$

Evaluate

$$-\frac{5}{4}=-1.25$$

Solution Steps

Multiply 1 and 14 to get 14.

$$\frac{3}{28}-\frac{14+5}{14}$$

Add 14 and 5 to get 19.

$$\frac{3}{28}-\frac{19}{14}$$

Least common multiple of 28 and 14 is 28. Convert \frac{3}{28} and \frac{19}{14} to fractions with denominator 28.

$$\frac{3}{28}-\frac{38}{28}$$

Since \frac{3}{28} and \frac{38}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-38}{28}$$

Subtract 38 from 3 to get -35.

$$\frac{-35}{28}$$

Reduce the fraction \frac{-35}{28} to lowest terms by extracting and canceling out 7.

$$-\frac{5}{4}$$

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$