Solve 1,1*2,5+1,1^2:11

$$1,1 \cdot 2,5 + 1,1 ^ { 2 } : 11$$

Evaluate

$$\frac{125}{44}\approx 2,840909091$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$1,1\times 2,5+\frac{1^{3}}{11}$$

Multiply 1,1 and 2,5 to get 2,75.

$$2,75+\frac{1^{3}}{11}$$

Calculate 1 to the power of 3 and get 1.

$$2,75+\frac{1}{11}$$

Convert decimal number 2,75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{11}{4}+\frac{1}{11}$$

Least common multiple of 4 and 11 is 44. Convert \frac{11}{4} and \frac{1}{11} to fractions with denominator 44.

$$\frac{121}{44}+\frac{4}{44}$$

Since \frac{121}{44} and \frac{4}{44} have the same denominator, add them by adding their numerators.

$$\frac{121+4}{44}$$

Add 121 and 4 to get 125.

$$\frac{125}{44}$$

Factor

$$\frac{5 ^ {3}}{11 \cdot 2 ^ {2}} = 2\frac{37}{44} = 2.840909090909091$$