Solve 34/10+23/10+32/10=

$$3 \frac { 4 } { 10 } + 2 \frac { 3 } { 10 } + 3 \frac { 2 } { 10 } =$$

Evaluate

$$\frac{89}{10}=8.9$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+4}{10}+\frac{2\times 10+3}{10}+\frac{3\times 10+2}{10}$$

Add 30 and 4 to get 34.

$$\frac{34}{10}+\frac{2\times 10+3}{10}+\frac{3\times 10+2}{10}$$

Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{5}+\frac{2\times 10+3}{10}+\frac{3\times 10+2}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{17}{5}+\frac{20+3}{10}+\frac{3\times 10+2}{10}$$

Add 20 and 3 to get 23.

$$\frac{17}{5}+\frac{23}{10}+\frac{3\times 10+2}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{17}{5} and \frac{23}{10} to fractions with denominator 10.

$$\frac{34}{10}+\frac{23}{10}+\frac{3\times 10+2}{10}$$

Since \frac{34}{10} and \frac{23}{10} have the same denominator, add them by adding their numerators.

$$\frac{34+23}{10}+\frac{3\times 10+2}{10}$$

Add 34 and 23 to get 57.

$$\frac{57}{10}+\frac{3\times 10+2}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{57}{10}+\frac{30+2}{10}$$

Add 30 and 2 to get 32.

$$\frac{57}{10}+\frac{32}{10}$$

Since \frac{57}{10} and \frac{32}{10} have the same denominator, add them by adding their numerators.

$$\frac{57+32}{10}$$

Add 57 and 32 to get 89.

$$\frac{89}{10}$$

Factor

$$\frac{89}{2 \cdot 5} = 8\frac{9}{10} = 8.9$$