Solve 1/9(-3/8+1/2)

$$\frac{ 1 }{ 9 } ( \frac{ -3 }{ 8 } + \frac{ 1 }{ 2 } )$$

Evaluate

$$\frac{1}{72}\approx 0.013888889$$

Solution Steps

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$\frac{1}{9}\left(-\frac{3}{8}+\frac{1}{2}\right)$$

Least common multiple of 8 and 2 is 8. Convert -\frac{3}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{1}{9}\left(-\frac{3}{8}+\frac{4}{8}\right)$$

Since -\frac{3}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

$$\frac{1}{9}\times \frac{-3+4}{8}$$

Add -3 and 4 to get 1.

$$\frac{1}{9}\times \frac{1}{8}$$

Multiply \frac{1}{9} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{9\times 8}$$

Do the multiplications in the fraction \frac{1\times 1}{9\times 8}.

$$\frac{1}{72}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3 ^ {2}} = 0.013888888888888888$$