Solve 120/3/6div4/9

$$120 / \frac { 3 } { 6 } \div \frac { 4 } { 9 }$$

Evaluate

$$540$$

Solution Steps

Divide \frac{120}{\frac{3}{6}} by \frac{4}{9} by multiplying \frac{120}{\frac{3}{6}} by the reciprocal of \frac{4}{9}.

$$\frac{120\times 9}{\frac{3}{6}\times 4}$$

Multiply 120 and 9 to get 1080.

$$\frac{1080}{\frac{3}{6}\times 4}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1080}{\frac{1}{2}\times 4}$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{1080}{\frac{4}{2}}$$

Divide 4 by 2 to get 2.

$$\frac{1080}{2}$$

Divide 1080 by 2 to get 540.

$$540$$

Factor

$$2^{2}\times 3^{3}\times 5$$