Solve (3/5-1/3)*15-1/4

$$( \frac { 3 } { 5 } - \frac { 1 } { 3 } ) \times 15 - \frac { 1 } { 4 }$$

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{1}{3} to fractions with denominator 15.

$$\left(\frac{9}{15}-\frac{5}{15}\right)\times 15-\frac{1}{4}$$

Since \frac{9}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{15}\times 15-\frac{1}{4}$$

Subtract 5 from 9 to get 4.

$$\frac{4}{15}\times 15-\frac{1}{4}$$

Cancel out 15 and 15.

$$4-\frac{1}{4}$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{16}{4}-\frac{1}{4}$$

Since \frac{16}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{4}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$