Solve 4/2div1/9div3/4=

$$\frac { 4 } { 2 } \div \frac { 1 } { 9 } \div \frac { 3 } { 4 } =$$

Evaluate

$$24$$

Solution Steps

Divide \frac{\frac{4}{2}}{\frac{1}{9}} by \frac{3}{4} by multiplying \frac{\frac{4}{2}}{\frac{1}{9}} by the reciprocal of \frac{3}{4}.

$$\frac{\frac{4}{2}\times 4}{\frac{1}{9}\times 3}$$

Divide 4 by 2 to get 2.

$$\frac{2\times 4}{\frac{1}{9}\times 3}$$

Multiply 2 and 4 to get 8.

$$\frac{8}{\frac{1}{9}\times 3}$$

Multiply \frac{1}{9} and 3 to get \frac{3}{9}.

$$\frac{8}{\frac{3}{9}}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{8}{\frac{1}{3}}$$

Divide 8 by \frac{1}{3} by multiplying 8 by the reciprocal of \frac{1}{3}.

$$8\times 3$$

Multiply 8 and 3 to get 24.

$$24$$

Factor

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