Solve (18/11)div(8/33)

$$( \frac{ 18 }{ 11 } ) \div ( \frac{ 8 }{ 33 } )$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Divide \frac{18}{11} by \frac{8}{33} by multiplying \frac{18}{11} by the reciprocal of \frac{8}{33}.

$$\frac{18}{11}\times \frac{33}{8}$$

Multiply \frac{18}{11} times \frac{33}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 33}{11\times 8}$$

Do the multiplications in the fraction \frac{18\times 33}{11\times 8}.

$$\frac{594}{88}$$

Reduce the fraction \frac{594}{88} to lowest terms by extracting and canceling out 22.

$$\frac{27}{4}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$