Solve 18div(9-4div3)=

$$18 \div ( 9 - 4 \div 3 ) =$$

Evaluate

$$\frac{54}{23}\approx 2.347826087$$

Solution Steps

Convert 9 to fraction \frac{27}{3}.

$$\frac{18}{\frac{27}{3}-\frac{4}{3}}$$

Since \frac{27}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18}{\frac{27-4}{3}}$$

Subtract 4 from 27 to get 23.

$$\frac{18}{\frac{23}{3}}$$

Divide 18 by \frac{23}{3} by multiplying 18 by the reciprocal of \frac{23}{3}.

$$18\times \frac{3}{23}$$

Express 18\times \frac{3}{23} as a single fraction.

$$\frac{18\times 3}{23}$$

Multiply 18 and 3 to get 54.

$$\frac{54}{23}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{23} = 2\frac{8}{23} = 2.347826086956522$$