Solve 0.75+5/6*(-2/3)=

$$0.75 + \frac { 5 } { 6 } \times ( - \frac { 2 } { 3 } ) =$$

Evaluate

$$\frac{7}{36}\approx 0.194444444$$

Solution Steps

Multiply \frac{5}{6} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$0.75+\frac{5\left(-2\right)}{6\times 3}$$

Do the multiplications in the fraction \frac{5\left(-2\right)}{6\times 3}.

$$0.75+\frac{-10}{18}$$

Reduce the fraction \frac{-10}{18} to lowest terms by extracting and canceling out 2.

$$0.75-\frac{5}{9}$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{4}-\frac{5}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{3}{4} and \frac{5}{9} to fractions with denominator 36.

$$\frac{27}{36}-\frac{20}{36}$$

Since \frac{27}{36} and \frac{20}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-20}{36}$$

Subtract 20 from 27 to get 7.

$$\frac{7}{36}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3 ^ {2}} = 0.19444444444444445$$