How to solve 4/5+-2/8--1/3

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 4/5+-2/8--1/3 | Equatix

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Question

$$4/5+-2/8--1/3$$

Evaluate

$\frac{53}{60}\approx 0.883333333$

Solution Steps

Reduce the fraction $\frac{-2}{8}$ to lowest terms by extracting and canceling out $2$.

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

Least common multiple of $5$ and $4$ is $20$. Convert $\frac{4}{5}$ and $\frac{1}{4}$ to fractions with denominator $20$.

$$\frac{16}{20}-\frac{5}{20}-\frac{-1}{3}$$

Since $\frac{16}{20}$ and $\frac{5}{20}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-5}{20}-\frac{-1}{3}$$

Subtract $5$ from $16$ to get $11$.

$$\frac{11}{20}-\frac{-1}{3}$$

Fraction $\frac{-1}{3}$ can be rewritten as $-\frac{1}{3}$ by extracting the negative sign.

$$\frac{11}{20}-\left(-\frac{1}{3}\right)$$

The opposite of $-\frac{1}{3}$ is $\frac{1}{3}$.

$$\frac{11}{20}+\frac{1}{3}$$

Least common multiple of $20$ and $3$ is $60$. Convert $\frac{11}{20}$ and $\frac{1}{3}$ to fractions with denominator $60$.

$$\frac{33}{60}+\frac{20}{60}$$

Since $\frac{33}{60}$ and $\frac{20}{60}$ have the same denominator, add them by adding their numerators.

$$\frac{33+20}{60}$$

Add $33$ and $20$ to get $53$.

$$\frac{53}{60}$$

Show Solution

Factor

$\frac{53}{2 ^ {2} \cdot 3 \cdot 5} = 0.8833333333333333$