Solve 5/8*4/3-1/5=

$$\frac { 5 } { 8 } \cdot \frac { 4 } { 3 } - \frac { 1 } { 5 } =$$

Evaluate

$$\frac{19}{30}\approx 0.633333333$$

Solution Steps

Multiply \frac{5}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{8\times 3}-\frac{1}{5}$$

Do the multiplications in the fraction \frac{5\times 4}{8\times 3}.

$$\frac{20}{24}-\frac{1}{5}$$

Reduce the fraction \frac{20}{24} to lowest terms by extracting and canceling out 4.

$$\frac{5}{6}-\frac{1}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{1}{5} to fractions with denominator 30.

$$\frac{25}{30}-\frac{6}{30}$$

Since \frac{25}{30} and \frac{6}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-6}{30}$$

Subtract 6 from 25 to get 19.

$$\frac{19}{30}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$