Solve 112/9-12/10

$$1 \frac { 12 } { 9 } - \frac { 12 } { 10 }$$

Evaluate

$$\frac{17}{15}\approx 1.133333333$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+12}{9}-\frac{12}{10}$$

Add 9 and 12 to get 21.

$$\frac{21}{9}-\frac{12}{10}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$\frac{7}{3}-\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}-\frac{6}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{7}{3} and \frac{6}{5} to fractions with denominator 15.

$$\frac{35}{15}-\frac{18}{15}$$

Since \frac{35}{15} and \frac{18}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-18}{15}$$

Subtract 18 from 35 to get 17.

$$\frac{17}{15}$$

Factor

$$\frac{17}{3 \cdot 5} = 1\frac{2}{15} = 1.1333333333333333$$