Solve 28/72:14/72:1/4:1/6

$$\frac { 28 } { 72 } : \frac { 14 } { 72 } : \frac { 1 } { 4 } : \frac { 1 } { 6 }$$

Evaluate

$$48$$

Solution Steps

Divide \frac{\frac{\frac{28}{72}}{\frac{14}{72}}}{\frac{1}{4}} by \frac{1}{6} by multiplying \frac{\frac{\frac{28}{72}}{\frac{14}{72}}}{\frac{1}{4}} by the reciprocal of \frac{1}{6}.

$$\frac{\frac{\frac{28}{72}}{\frac{14}{72}}\times 6}{\frac{1}{4}}$$

Divide \frac{28}{72} by \frac{14}{72} by multiplying \frac{28}{72} by the reciprocal of \frac{14}{72}.

$$\frac{\frac{28\times 72}{72\times 14}\times 6}{\frac{1}{4}}$$

Cancel out 2\times 4\times 7\times 18 in both numerator and denominator.

$$\frac{2\times 6}{\frac{1}{4}}$$

Multiply 2 and 6 to get 12.

$$\frac{12}{\frac{1}{4}}$$

Divide 12 by \frac{1}{4} by multiplying 12 by the reciprocal of \frac{1}{4}.

$$12\times 4$$

Multiply 12 and 4 to get 48.

$$48$$

Factor

$$2^{4}\times 3$$