Solve 3:2text{e}1:(1-1/3)

$$3 : 2 \text { e } 1 : ( 1 - \frac { 1 } { 3 } )$$

Evaluate

$$\frac{9e}{4}\approx 6.116134114$$

Solution Steps

Multiply \frac{3}{2} and 1 to get \frac{3}{2}.

$$\frac{\frac{3}{2}e}{1-\frac{1}{3}}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{\frac{3}{2}e}{\frac{3}{3}-\frac{1}{3}}$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3}{2}e}{\frac{3-1}{3}}$$

Subtract 1 from 3 to get 2.

$$\frac{\frac{3}{2}e}{\frac{2}{3}}$$

Divide \frac{3}{2}e by \frac{2}{3} by multiplying \frac{3}{2}e by the reciprocal of \frac{2}{3}.

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

Express \frac{3}{2}\times 3 as a single fraction.

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

Multiply 3 and 3 to get 9.

$$\frac{\frac{9}{2}e}{2}$$

Divide \frac{9}{2}e by 2 to get \frac{9}{4}e.

$$\frac{9}{4}e$$