Solve 7/18*-10/21div11/9

$$\frac{ 7 }{ 18 } \times \frac{ -10 }{ 21 } \div \frac{ 11 }{ 9 }$$

Evaluate

$$-\frac{5}{33}\approx -0.151515152$$

Solution Steps

Fraction \frac{-10}{21} can be rewritten as -\frac{10}{21} by extracting the negative sign.

$$\frac{\frac{7}{18}\left(-\frac{10}{21}\right)}{\frac{11}{9}}$$

Multiply \frac{7}{18} times -\frac{10}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\left(-10\right)}{18\times 21}}{\frac{11}{9}}$$

Do the multiplications in the fraction \frac{7\left(-10\right)}{18\times 21}.

$$\frac{\frac{-70}{378}}{\frac{11}{9}}$$

Reduce the fraction \frac{-70}{378} to lowest terms by extracting and canceling out 14.

$$\frac{-\frac{5}{27}}{\frac{11}{9}}$$

Divide -\frac{5}{27} by \frac{11}{9} by multiplying -\frac{5}{27} by the reciprocal of \frac{11}{9}.

$$-\frac{5}{27}\times \frac{9}{11}$$

Multiply -\frac{5}{27} times \frac{9}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 9}{27\times 11}$$

Do the multiplications in the fraction \frac{-5\times 9}{27\times 11}.

$$\frac{-45}{297}$$

Reduce the fraction \frac{-45}{297} to lowest terms by extracting and canceling out 9.

$$-\frac{5}{33}$$

Factor

$$-\frac{5}{33} = -0.15151515151515152$$