Solve -1/4div(2/11)

$$- \frac { 1 } { 4 } \div ( \frac { 2 } { 11 } )$$

Evaluate

$$-\frac{11}{8}=-1.375$$

Solution Steps

Divide -\frac{1}{4} by \frac{2}{11} by multiplying -\frac{1}{4} by the reciprocal of \frac{2}{11}.

$$-\frac{1}{4}\times \frac{11}{2}$$

Multiply -\frac{1}{4} times \frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11}{4\times 2}$$

Do the multiplications in the fraction \frac{-11}{4\times 2}.

$$\frac{-11}{8}$$

Fraction \frac{-11}{8} can be rewritten as -\frac{11}{8} by extracting the negative sign.

$$-\frac{11}{8}$$

Factor

$$-\frac{11}{8} = -1\frac{3}{8} = -1.375$$