Solve 1/5*(-3)div6/11=

$$\frac { 1 } { 5 } \times ( - 3 ) \div \frac { 6 } { 11 } =$$

Evaluate

$$-\frac{11}{10}=-1.1$$

Solution Steps

Multiply \frac{1}{5} and -3 to get \frac{-3}{5}.

$$\frac{\frac{-3}{5}}{\frac{6}{11}}$$

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{-\frac{3}{5}}{\frac{6}{11}}$$

Divide -\frac{3}{5} by \frac{6}{11} by multiplying -\frac{3}{5} by the reciprocal of \frac{6}{11}.

$$-\frac{3}{5}\times \frac{11}{6}$$

Multiply -\frac{3}{5} times \frac{11}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 11}{5\times 6}$$

Do the multiplications in the fraction \frac{-3\times 11}{5\times 6}.

$$\frac{-33}{30}$$

Reduce the fraction \frac{-33}{30} to lowest terms by extracting and canceling out 3.

$$-\frac{11}{10}$$

Factor

$$-\frac{11}{10} = -1\frac{1}{10} = -1.1$$