How to solve 1/2 - 5/18 - 7/24

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 1/2 - 5/18 - 7/24 | Equatix

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Question

$$\frac{1}{2}+\frac{-5}{18}-\frac{7}{24}$$

Evaluate

$-\frac{5}{72}\approx -0.069444444$

Solution Steps

Fraction $\frac{-5}{18}$ can be rewritten as $-\frac{5}{18}$ by extracting the negative sign.

$$\frac{1}{2}-\frac{5}{18}-\frac{7}{24}$$

Least common multiple of $2$ and $18$ is $18$. Convert $\frac{1}{2}$ and $\frac{5}{18}$ to fractions with denominator $18$.

$$\frac{9}{18}-\frac{5}{18}-\frac{7}{24}$$

Since $\frac{9}{18}$ and $\frac{5}{18}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{18}-\frac{7}{24}$$

Subtract $5$ from $9$ to get $4$.

$$\frac{4}{18}-\frac{7}{24}$$

Reduce the fraction $\frac{4}{18}$ to lowest terms by extracting and canceling out $2$.

$$\frac{2}{9}-\frac{7}{24}$$

Least common multiple of $9$ and $24$ is $72$. Convert $\frac{2}{9}$ and $\frac{7}{24}$ to fractions with denominator $72$.

$$\frac{16}{72}-\frac{21}{72}$$

Since $\frac{16}{72}$ and $\frac{21}{72}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-21}{72}$$

Subtract $21$ from $16$ to get $-5$.

$$-\frac{5}{72}$$

Show Solution

Factor

$-\frac{5}{72} = -0.06944444444444445$