Solve 11/72:5/33

$$\frac { 11 } { 72 } : \frac { 5 } { 33 }$$

Evaluate

$$\frac{121}{120}\approx 1.008333333$$

Solution Steps

Divide \frac{11}{72} by \frac{5}{33} by multiplying \frac{11}{72} by the reciprocal of \frac{5}{33}.

$$\frac{11}{72}\times \frac{33}{5}$$

Multiply \frac{11}{72} times \frac{33}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 33}{72\times 5}$$

Do the multiplications in the fraction \frac{11\times 33}{72\times 5}.

$$\frac{363}{360}$$

Reduce the fraction \frac{363}{360} to lowest terms by extracting and canceling out 3.

$$\frac{121}{120}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {3} \cdot 3 \cdot 5} = 1\frac{1}{120} = 1.0083333333333333$$