Solve 158/10-99/10+63/10

$$15 \frac { 8 } { 10 } - 9 \frac { 9 } { 10 } + 6 \frac { 3 } { 10 }$$

Evaluate

$$\frac{61}{5}=12.2$$

Solution Steps

Multiply 15 and 10 to get 150.

$$\frac{150+8}{10}-\frac{9\times 10+9}{10}+\frac{6\times 10+3}{10}$$

Add 150 and 8 to get 158.

$$\frac{158}{10}-\frac{9\times 10+9}{10}+\frac{6\times 10+3}{10}$$

Reduce the fraction \frac{158}{10} to lowest terms by extracting and canceling out 2.

$$\frac{79}{5}-\frac{9\times 10+9}{10}+\frac{6\times 10+3}{10}$$

Multiply 9 and 10 to get 90.

$$\frac{79}{5}-\frac{90+9}{10}+\frac{6\times 10+3}{10}$$

Add 90 and 9 to get 99.

$$\frac{79}{5}-\frac{99}{10}+\frac{6\times 10+3}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{79}{5} and \frac{99}{10} to fractions with denominator 10.

$$\frac{158}{10}-\frac{99}{10}+\frac{6\times 10+3}{10}$$

Since \frac{158}{10} and \frac{99}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{158-99}{10}+\frac{6\times 10+3}{10}$$

Subtract 99 from 158 to get 59.

$$\frac{59}{10}+\frac{6\times 10+3}{10}$$

Multiply 6 and 10 to get 60.

$$\frac{59}{10}+\frac{60+3}{10}$$

Add 60 and 3 to get 63.

$$\frac{59}{10}+\frac{63}{10}$$

Since \frac{59}{10} and \frac{63}{10} have the same denominator, add them by adding their numerators.

$$\frac{59+63}{10}$$

Add 59 and 63 to get 122.

$$\frac{122}{10}$$

Reduce the fraction \frac{122}{10} to lowest terms by extracting and canceling out 2.

$$\frac{61}{5}$$

Factor

$$\frac{61}{5} = 12\frac{1}{5} = 12.2$$