Solve 1*1/10+1*1/10+3*3/10+2*2/5+2*frac{2}{5}+1*frac{1}{10}

$$1 \times \frac { 1 } { 10 } + 1 \times \frac { 1 } { 10 } + 3 \times \frac { 3 } { 10 } + 2 \times \frac { 2 } { 5 } + 2 \times \frac { 2 } { 5 } + 1 \times \frac { 1 } { 10 }$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Multiply 1 and \frac{1}{10} to get \frac{1}{10}.

$$\frac{1}{10}+1\times \frac{1}{10}+3\times \frac{3}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Multiply 1 and \frac{1}{10} to get \frac{1}{10}.

$$\frac{1}{10}+\frac{1}{10}+3\times \frac{3}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Since \frac{1}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{10}+3\times \frac{3}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Add 1 and 1 to get 2.

$$\frac{2}{10}+3\times \frac{3}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+3\times \frac{3}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Express 3\times \frac{3}{10} as a single fraction.

$$\frac{1}{5}+\frac{3\times 3}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Multiply 3 and 3 to get 9.

$$\frac{1}{5}+\frac{9}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{9}{10} to fractions with denominator 10.

$$\frac{2}{10}+\frac{9}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Since \frac{2}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+9}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Add 2 and 9 to get 11.

$$\frac{11}{10}+2\times \frac{2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Express 2\times \frac{2}{5} as a single fraction.

$$\frac{11}{10}+\frac{2\times 2}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Multiply 2 and 2 to get 4.

$$\frac{11}{10}+\frac{4}{5}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Least common multiple of 10 and 5 is 10. Convert \frac{11}{10} and \frac{4}{5} to fractions with denominator 10.

$$\frac{11}{10}+\frac{8}{10}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Since \frac{11}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{11+8}{10}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Add 11 and 8 to get 19.

$$\frac{19}{10}+2\times \frac{2}{5}+1\times \frac{1}{10}$$

Express 2\times \frac{2}{5} as a single fraction.

$$\frac{19}{10}+\frac{2\times 2}{5}+1\times \frac{1}{10}$$

Multiply 2 and 2 to get 4.

$$\frac{19}{10}+\frac{4}{5}+1\times \frac{1}{10}$$

Least common multiple of 10 and 5 is 10. Convert \frac{19}{10} and \frac{4}{5} to fractions with denominator 10.

$$\frac{19}{10}+\frac{8}{10}+1\times \frac{1}{10}$$

Since \frac{19}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{19+8}{10}+1\times \frac{1}{10}$$

Add 19 and 8 to get 27.

$$\frac{27}{10}+1\times \frac{1}{10}$$

Multiply 1 and \frac{1}{10} to get \frac{1}{10}.

$$\frac{27}{10}+\frac{1}{10}$$

Since \frac{27}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{27+1}{10}$$

Add 27 and 1 to get 28.

$$\frac{28}{10}$$

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$