Solve (-11/12:33/16)*3/5

$$( \frac { - 11 } { 12 } : \frac { 33 } { 16 } ) \cdot \frac { 3 } { 5 }$$

Evaluate

$$-\frac{4}{15}\approx -0.266666667$$

Solution Steps

Divide \frac{-11}{12} by \frac{33}{16} by multiplying \frac{-11}{12} by the reciprocal of \frac{33}{16}.

$$\frac{-11\times 16}{12\times 33}\times \frac{3}{5}$$

Cancel out 4\times 11 in both numerator and denominator.

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

Multiply 3 and 3 to get 9.

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

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

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

Multiply -\frac{4}{9} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-4\times 3}{9\times 5}.

$$\frac{-12}{45}$$

Reduce the fraction \frac{-12}{45} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{15}$$

Factor

$$-\frac{4}{15} = -0.26666666666666666$$