Solve (5/6-2/5)*3/8

$$( \frac { 5 } { 6 } - \frac { 2 } { 5 } ) \cdot \frac { 3 } { 8 }$$

Evaluate

$$\frac{13}{80}=0.1625$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{2}{5} to fractions with denominator 30.

$$\left(\frac{25}{30}-\frac{12}{30}\right)\times \frac{3}{8}$$

Since \frac{25}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-12}{30}\times \frac{3}{8}$$

Subtract 12 from 25 to get 13.

$$\frac{13}{30}\times \frac{3}{8}$$

Multiply \frac{13}{30} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 3}{30\times 8}$$

Do the multiplications in the fraction \frac{13\times 3}{30\times 8}.

$$\frac{39}{240}$$

Reduce the fraction \frac{39}{240} to lowest terms by extracting and canceling out 3.

$$\frac{13}{80}$$

Factor

$$\frac{13}{2 ^ {4} \cdot 5} = 0.1625$$