Solve 2/3-(1/4*2/5)

$$\frac { 2 } { 3 } - ( \frac { 1 } { 4 } \cdot \frac { 2 } { 5 } )$$

Evaluate

$$\frac{17}{30}\approx 0.566666667$$

Solution Steps

Multiply \frac{1}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}-\frac{1\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{1\times 2}{4\times 5}.

$$\frac{2}{3}-\frac{2}{20}$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}-\frac{1}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{2}{3} and \frac{1}{10} to fractions with denominator 30.

$$\frac{20}{30}-\frac{3}{30}$$

Since \frac{20}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-3}{30}$$

Subtract 3 from 20 to get 17.

$$\frac{17}{30}$$

Factor

$$\frac{17}{2 \cdot 3 \cdot 5} = 0.5666666666666667$$