Solve 12/13+122-36/23=

$$\frac{ 12 }{ 13+122 } - \frac{ 36 }{ 23 } =$$

Evaluate

$$-\frac{1528}{1035}\approx -1.476328502$$

Solution Steps

Add 13 and 122 to get 135.

$$\frac{12}{135}-\frac{36}{23}$$

Reduce the fraction \frac{12}{135} to lowest terms by extracting and canceling out 3.

$$\frac{4}{45}-\frac{36}{23}$$

Least common multiple of 45 and 23 is 1035. Convert \frac{4}{45} and \frac{36}{23} to fractions with denominator 1035.

$$\frac{92}{1035}-\frac{1620}{1035}$$

Since \frac{92}{1035} and \frac{1620}{1035} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-1620}{1035}$$

Subtract 1620 from 92 to get -1528.

$$-\frac{1528}{1035}$$

Factor

$$-\frac{1528}{1035} = -1\frac{493}{1035} = -1.4763285024154589$$