Solve 4/22*(-9/12)+7/11

$$\frac { 4 } { 22 } \cdot ( - \frac { 9 } { 12 } ) + \frac { 7 } { 11 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Reduce the fraction \frac{4}{22} to lowest terms by extracting and canceling out 2.

$$\frac{2}{11}\left(-\frac{9}{12}\right)+\frac{7}{11}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{2}{11}\left(-\frac{3}{4}\right)+\frac{7}{11}$$

Multiply \frac{2}{11} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-3\right)}{11\times 4}+\frac{7}{11}$$

Do the multiplications in the fraction \frac{2\left(-3\right)}{11\times 4}.

$$\frac{-6}{44}+\frac{7}{11}$$

Reduce the fraction \frac{-6}{44} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{22}+\frac{7}{11}$$

Least common multiple of 22 and 11 is 22. Convert -\frac{3}{22} and \frac{7}{11} to fractions with denominator 22.

$$-\frac{3}{22}+\frac{14}{22}$$

Since -\frac{3}{22} and \frac{14}{22} have the same denominator, add them by adding their numerators.

$$\frac{-3+14}{22}$$

Add -3 and 14 to get 11.

$$\frac{11}{22}$$

Reduce the fraction \frac{11}{22} to lowest terms by extracting and canceling out 11.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$