Solve 2.7^2+1/2.7

$${ 2.7 }^{ 2 } + \frac{ 1 }{ 2.7 }$$

Evaluate

$$\frac{20683}{2700}\approx 7.66037037$$

Solution Steps

Calculate 2.7 to the power of 2 and get 7.29.

$$7.29+\frac{1}{2.7}$$

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

$$7.29+\frac{10}{27}$$

Convert decimal number 7.29 to fraction \frac{729}{100}.

$$\frac{729}{100}+\frac{10}{27}$$

Least common multiple of 100 and 27 is 2700. Convert \frac{729}{100} and \frac{10}{27} to fractions with denominator 2700.

$$\frac{19683}{2700}+\frac{1000}{2700}$$

Since \frac{19683}{2700} and \frac{1000}{2700} have the same denominator, add them by adding their numerators.

$$\frac{19683+1000}{2700}$$

Add 19683 and 1000 to get 20683.

$$\frac{20683}{2700}$$

Factor

$$\frac{13 \cdot 37 \cdot 43}{2 ^ {2} \cdot 3 ^ {3} \cdot 5 ^ {2}} = 7\frac{1783}{2700} = 7.66037037037037$$