Solve 7/18/frac{11{27}}

$$\frac { \frac { 7 } { 18 } } { \frac { 11 } { 27 } }$$

Evaluate

$$\frac{21}{22}\approx 0.954545455$$

Solution Steps

Divide \frac{7}{18} by \frac{11}{27} by multiplying \frac{7}{18} by the reciprocal of \frac{11}{27}.

$$\frac{7}{18}\times \frac{27}{11}$$

Multiply \frac{7}{18} times \frac{27}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 27}{18\times 11}$$

Do the multiplications in the fraction \frac{7\times 27}{18\times 11}.

$$\frac{189}{198}$$

Reduce the fraction \frac{189}{198} to lowest terms by extracting and canceling out 9.

$$\frac{21}{22}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 11} = 0.9545454545454546$$