Solve (2.718+1/2.718)div2=

$$(2.718+ \frac{ 1 }{ 2.718 } ) \div 2=$$

Evaluate

$$\frac{2096881}{1359000}\approx 1.542958793$$

Solution Steps

Expand \frac{1}{2.718} by multiplying both numerator and the denominator by 1000.

$$\frac{2.718+\frac{1000}{2718}}{2}$$

Reduce the fraction \frac{1000}{2718} to lowest terms by extracting and canceling out 2.

$$\frac{2.718+\frac{500}{1359}}{2}$$

Convert decimal number 2.718 to fraction \frac{2718}{1000}. Reduce the fraction \frac{2718}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1359}{500}+\frac{500}{1359}}{2}$$

Least common multiple of 500 and 1359 is 679500. Convert \frac{1359}{500} and \frac{500}{1359} to fractions with denominator 679500.

$$\frac{\frac{1846881}{679500}+\frac{250000}{679500}}{2}$$

Since \frac{1846881}{679500} and \frac{250000}{679500} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1846881+250000}{679500}}{2}$$

Add 1846881 and 250000 to get 2096881.

$$\frac{\frac{2096881}{679500}}{2}$$

Express \frac{\frac{2096881}{679500}}{2} as a single fraction.

$$\frac{2096881}{679500\times 2}$$

Multiply 679500 and 2 to get 1359000.

$$\frac{2096881}{1359000}$$

Factor

$$\frac{2096881}{151 \cdot 2 ^ {3} \cdot 3 ^ {2} \cdot 5 ^ {3}} = 1\frac{737881}{1359000} = 1.5429587932303164$$