Solve 12/15--1/9

$$\frac { 12 } { 15 } - \frac { - 1 } { 9 }$$

Evaluate

$$\frac{41}{45}\approx 0.911111111$$

Solution Steps

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}-\frac{-1}{9}$$

Fraction \frac{-1}{9} can be rewritten as -\frac{1}{9} by extracting the negative sign.

$$\frac{4}{5}-\left(-\frac{1}{9}\right)$$

The opposite of -\frac{1}{9} is \frac{1}{9}.

$$\frac{4}{5}+\frac{1}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{4}{5} and \frac{1}{9} to fractions with denominator 45.

$$\frac{36}{45}+\frac{5}{45}$$

Since \frac{36}{45} and \frac{5}{45} have the same denominator, add them by adding their numerators.

$$\frac{36+5}{45}$$

Add 36 and 5 to get 41.

$$\frac{41}{45}$$

Factor

$$\frac{41}{3 ^ {2} \cdot 5} = 0.9111111111111111$$