Solve (- 1/2 - 3/4 + 1/3) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(-\frac{1}{2}-\frac{3}{4}+\frac{1}{3})$$

Evaluate

$-\frac{11}{12}\approx -0.916666667$

Solution Steps

Least common multiple of $2$ and $4$ is $4$. Convert $-\frac{1}{2}$ and $\frac{3}{4}$ to fractions with denominator $4$.

$$-\frac{2}{4}-\frac{3}{4}+\frac{1}{3}$$

Since $-\frac{2}{4}$ and $\frac{3}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-3}{4}+\frac{1}{3}$$

Subtract $3$ from $-2$ to get $-5$.

$$-\frac{5}{4}+\frac{1}{3}$$

Least common multiple of $4$ and $3$ is $12$. Convert $-\frac{5}{4}$ and $\frac{1}{3}$ to fractions with denominator $12$.

$$-\frac{15}{12}+\frac{4}{12}$$

Since $-\frac{15}{12}$ and $\frac{4}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{-15+4}{12}$$

Add $-15$ and $4$ to get $-11$.

$$-\frac{11}{12}$$

Factor

$-\frac{11}{12} = -0.9166666666666666$