Solve 2.7+1/2.7

$$2.7+ \frac{ 1 }{ 2.7 }$$

Evaluate

$$\frac{829}{270}\approx 3.07037037$$

Solution Steps

Expand \frac{1}{2.7} by multiplying both numerator and the denominator by 10.

$$2.7+\frac{10}{27}$$

Convert decimal number 2.7 to fraction \frac{27}{10}.

$$\frac{27}{10}+\frac{10}{27}$$

Least common multiple of 10 and 27 is 270. Convert \frac{27}{10} and \frac{10}{27} to fractions with denominator 270.

$$\frac{729}{270}+\frac{100}{270}$$

Since \frac{729}{270} and \frac{100}{270} have the same denominator, add them by adding their numerators.

$$\frac{729+100}{270}$$

Add 729 and 100 to get 829.

$$\frac{829}{270}$$

Factor

$$\frac{829}{2 \cdot 5 \cdot 3 ^ {3}} = 3\frac{19}{270} = 3.0703703703703704$$