How to solve 1/4 - 5/9 + 7/12

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 1/4 - 5/9 + 7/12 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{1}{4}-\frac{5}{9}+\frac{7}{12}$$

Evaluate

$\frac{5}{18}\approx 0.277777778$

Solution Steps

Least common multiple of $4$ and $9$ is $36$. Convert $\frac{1}{4}$ and $\frac{5}{9}$ to fractions with denominator $36$.

$$\frac{9}{36}-\frac{20}{36}+\frac{7}{12}$$

Since $\frac{9}{36}$ and $\frac{20}{36}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-20}{36}+\frac{7}{12}$$

Subtract $20$ from $9$ to get $-11$.

$$-\frac{11}{36}+\frac{7}{12}$$

Least common multiple of $36$ and $12$ is $36$. Convert $-\frac{11}{36}$ and $\frac{7}{12}$ to fractions with denominator $36$.

$$-\frac{11}{36}+\frac{21}{36}$$

Since $-\frac{11}{36}$ and $\frac{21}{36}$ have the same denominator, add them by adding their numerators.

$$\frac{-11+21}{36}$$

Add $-11$ and $21$ to get $10$.

$$\frac{10}{36}$$

Reduce the fraction $\frac{10}{36}$ to lowest terms by extracting and canceling out $2$.

$$\frac{5}{18}$$

Show Solution

Factor

$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$