Solve 04/15-53/5

$$0 \frac { 4 } { 15 } - 5 \frac { 3 } { 5 }$$

Evaluate

$$-\frac{16}{3}\approx -5.333333333$$

Solution Steps

Multiply 0 and 15 to get 0.

$$\frac{0+4}{15}-\frac{5\times 5+3}{5}$$

Add 0 and 4 to get 4.

$$\frac{4}{15}-\frac{5\times 5+3}{5}$$

Multiply 5 and 5 to get 25.

$$\frac{4}{15}-\frac{25+3}{5}$$

Add 25 and 3 to get 28.

$$\frac{4}{15}-\frac{28}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{4}{15} and \frac{28}{5} to fractions with denominator 15.

$$\frac{4}{15}-\frac{84}{15}$$

Since \frac{4}{15} and \frac{84}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-84}{15}$$

Subtract 84 from 4 to get -80.

$$\frac{-80}{15}$$

Reduce the fraction \frac{-80}{15} to lowest terms by extracting and canceling out 5.

$$-\frac{16}{3}$$

Factor

$$-\frac{16}{3} = -5\frac{1}{3} = -5.333333333333333$$