How to solve -1/2/7+10/8

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 -1/2/7+10/8 | Equatix

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Question

$$-1/2/7+10/8$$

Evaluate

$\frac{33}{28}\approx 1.178571429$

Solution Steps

Express $\frac{\frac{-1}{2}}{7}$ as a single fraction.

$$\frac{-1}{2\times 7}+\frac{10}{8}$$

Multiply $2$ and $7$ to get $14$.

$$\frac{-1}{14}+\frac{10}{8}$$

Fraction $\frac{-1}{14}$ can be rewritten as $-\frac{1}{14}$ by extracting the negative sign.

$$-\frac{1}{14}+\frac{10}{8}$$

Reduce the fraction $\frac{10}{8}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{1}{14}+\frac{5}{4}$$

Least common multiple of $14$ and $4$ is $28$. Convert $-\frac{1}{14}$ and $\frac{5}{4}$ to fractions with denominator $28$.

$$-\frac{2}{28}+\frac{35}{28}$$

Since $-\frac{2}{28}$ and $\frac{35}{28}$ have the same denominator, add them by adding their numerators.

$$\frac{-2+35}{28}$$

Add $-2$ and $35$ to get $33$.

$$\frac{33}{28}$$

Show Solution

Factor

$\frac{3 \cdot 11}{2 ^ {2} \cdot 7} = 1\frac{5}{28} = 1.1785714285714286$