Solve 1.1*2.5+1.1^2:11

$$1.1 \cdot 2.5 + 1.1 ^ { 2 } : 11$$

Evaluate

$$2.86$$

Solution Steps

Multiply 1.1 and 2.5 to get 2.75.

$$2.75+\frac{1.1^{2}}{11}$$

Calculate 1.1 to the power of 2 and get 1.21.

$$2.75+\frac{1.21}{11}$$

Expand \frac{1.21}{11} by multiplying both numerator and the denominator by 100.

$$2.75+\frac{121}{1100}$$

Reduce the fraction \frac{121}{1100} to lowest terms by extracting and canceling out 11.

$$2.75+\frac{11}{100}$$

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.

$$\frac{11}{4}+\frac{11}{100}$$

Least common multiple of 4 and 100 is 100. Convert \frac{11}{4} and \frac{11}{100} to fractions with denominator 100.

$$\frac{275}{100}+\frac{11}{100}$$

Since \frac{275}{100} and \frac{11}{100} have the same denominator, add them by adding their numerators.

$$\frac{275+11}{100}$$

Add 275 and 11 to get 286.

$$\frac{286}{100}$$

Reduce the fraction \frac{286}{100} to lowest terms by extracting and canceling out 2.

$$\frac{143}{50}$$

Factor

$$\frac{11 \cdot 13}{2 \cdot 5 ^ {2}} = 2\frac{43}{50} = 2.86$$