Solve (8/5-1/3)1/4

$$( \frac { 8 } { 5 } - \frac { 1 } { 3 } ) \frac { 1 } { 4 }$$

Evaluate

$$\frac{19}{60}\approx 0.316666667$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{8}{5} and \frac{1}{3} to fractions with denominator 15.

$$\left(\frac{24}{15}-\frac{5}{15}\right)\times \frac{1}{4}$$

Since \frac{24}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-5}{15}\times \frac{1}{4}$$

Subtract 5 from 24 to get 19.

$$\frac{19}{15}\times \frac{1}{4}$$

Multiply \frac{19}{15} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 1}{15\times 4}$$

Do the multiplications in the fraction \frac{19\times 1}{15\times 4}.

$$\frac{19}{60}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3 \cdot 5} = 0.31666666666666665$$