Solve 1/5:5text{e}(1+1/2):15

$$\frac { 1 } { 5 } : 5 \text { e } ( 1 + \frac { 1 } { 2 } ) : 15$$

Evaluate

$$\frac{e}{250}\approx 0.010873127$$

Solution Steps

Express \frac{\frac{1}{5}}{5} as a single fraction.

$$\frac{\frac{1}{5\times 5}e\left(1+\frac{1}{2}\right)}{15}$$

Multiply 5 and 5 to get 25.

$$\frac{\frac{1}{25}e\left(1+\frac{1}{2}\right)}{15}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{1}{25}e\left(\frac{2}{2}+\frac{1}{2}\right)}{15}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1}{25}e\times \frac{2+1}{2}}{15}$$

Add 2 and 1 to get 3.

$$\frac{\frac{1}{25}e\times \frac{3}{2}}{15}$$

Multiply \frac{1}{25} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 3}{25\times 2}e}{15}$$

Do the multiplications in the fraction \frac{1\times 3}{25\times 2}.

$$\frac{\frac{3}{50}e}{15}$$

Divide \frac{3}{50}e by 15 to get \frac{1}{250}e.

$$\frac{1}{250}e$$

Expand

$$\frac{e}{250}$$

Solution Steps

Express \frac{\frac{1}{5}}{5} as a single fraction.

$$\frac{\frac{1}{5\times 5}e\left(1+\frac{1}{2}\right)}{15}$$

Multiply 5 and 5 to get 25.

$$\frac{\frac{1}{25}e\left(1+\frac{1}{2}\right)}{15}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{1}{25}e\left(\frac{2}{2}+\frac{1}{2}\right)}{15}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1}{25}e\times \frac{2+1}{2}}{15}$$

Add 2 and 1 to get 3.

$$\frac{\frac{1}{25}e\times \frac{3}{2}}{15}$$

Multiply \frac{1}{25} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 3}{25\times 2}e}{15}$$

Do the multiplications in the fraction \frac{1\times 3}{25\times 2}.

$$\frac{\frac{3}{50}e}{15}$$

Divide \frac{3}{50}e by 15 to get \frac{1}{250}e.

$$\frac{1}{250}e$$