Solve 3/8-1/4*(-2/3)

$$\frac { 3 } { 8 } - \frac { 1 } { 4 } \times ( - \frac { 2 } { 3 } )$$

Evaluate

$$\frac{13}{24}\approx 0.541666667$$

Solution Steps

Multiply \frac{1}{4} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}-\frac{1\left(-2\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{1\left(-2\right)}{4\times 3}.

$$\frac{3}{8}-\frac{-2}{12}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}-\left(-\frac{1}{6}\right)$$

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$\frac{3}{8}+\frac{1}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{9}{24}+\frac{4}{24}$$

Since \frac{9}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{24}$$

Add 9 and 4 to get 13.

$$\frac{13}{24}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3} = 0.5416666666666666$$