Solve 11/2+2.2*2/11

$$1 \frac { 1 } { 2 } + 2.2 \times \frac { 2 } { 11 }$$

Evaluate

$$1.9$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}+2.2\times \frac{2}{11}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}+2.2\times \frac{2}{11}$$

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}+\frac{11}{5}\times \frac{2}{11}$$

Multiply \frac{11}{5} times \frac{2}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}+\frac{11\times 2}{5\times 11}$$

Cancel out 11 in both numerator and denominator.

$$\frac{3}{2}+\frac{2}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{4}{10}$$

Since \frac{15}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{10}$$

Add 15 and 4 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$