Solve 3/frac{5-3{9*left(5-4right)}2}

$$\frac{ 3 }{ \frac{ 5-3 }{ 9 \times \left( 5-4 \right) } 2 }$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Subtract 3 from 5 to get 2.

$$\frac{3}{\frac{2}{9\left(5-4\right)}\times 2}$$

Subtract 4 from 5 to get 1.

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

Multiply 9 and 1 to get 9.

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

Express \frac{2}{9}\times 2 as a single fraction.

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

Multiply 2 and 2 to get 4.

$$\frac{3}{\frac{4}{9}}$$

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

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

Express 3\times \frac{9}{4} as a single fraction.

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

Multiply 3 and 9 to get 27.

$$\frac{27}{4}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$