Solve -(5/18-2/3)*3/2

$$- ( \frac { 5 } { 18 } - \frac { 2 } { 3 } ) \cdot \frac { 3 } { 2 }$$

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

Least common multiple of 18 and 3 is 18. Convert \frac{5}{18} and \frac{2}{3} to fractions with denominator 18.

$$\left(-\left(\frac{5}{18}-\frac{12}{18}\right)\right)\times \frac{3}{2}$$

Since \frac{5}{18} and \frac{12}{18} have the same denominator, subtract them by subtracting their numerators.

$$\left(-\frac{5-12}{18}\right)\times \frac{3}{2}$$

Subtract 12 from 5 to get -7.

$$\left(-\left(-\frac{7}{18}\right)\right)\times \frac{3}{2}$$

The opposite of -\frac{7}{18} is \frac{7}{18}.

$$\frac{7}{18}\times \frac{3}{2}$$

Multiply \frac{7}{18} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{18\times 2}$$

Do the multiplications in the fraction \frac{7\times 3}{18\times 2}.

$$\frac{21}{36}$$

Reduce the fraction \frac{21}{36} to lowest terms by extracting and canceling out 3.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$