Solve 180-1/4-1/9

$$180- \frac{ 1 }{ 4 } - \frac{ 1 }{ 9 }$$

Evaluate

$$\frac{6467}{36}\approx 179.638888889$$

Solution Steps

Convert 180 to fraction \frac{720}{4}.

$$\frac{720}{4}-\frac{1}{4}-\frac{1}{9}$$

Since \frac{720}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{720-1}{4}-\frac{1}{9}$$

Subtract 1 from 720 to get 719.

$$\frac{719}{4}-\frac{1}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{719}{4} and \frac{1}{9} to fractions with denominator 36.

$$\frac{6471}{36}-\frac{4}{36}$$

Since \frac{6471}{36} and \frac{4}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6471-4}{36}$$

Subtract 4 from 6471 to get 6467.

$$\frac{6467}{36}$$

Factor

$$\frac{29 \cdot 223}{2 ^ {2} \cdot 3 ^ {2}} = 179\frac{23}{36} = 179.63888888888889$$