How to solve 1/2-3/4+5/6-7/8

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 1/2-3/4+5/6-7/8 | Equatix

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Question

$$1/2-3/4+5/6-7/8$$

Answer

-7/24

Solution

Find the Least Common Denominator (LCD) of $\frac{1}{2},\frac{3}{4},\frac{5}{6},\frac{7}{8}$. In other words, find the Least Common Multiple (LCM) of $2,4,6,8$.

LCD = $24$

Make the denominators the same as the LCD.

\[\frac{1\times 12}{2\times 12}-\frac{3\times 6}{4\times 6}+\frac{5\times 4}{6\times 4}-\frac{7\times 3}{8\times 3}\]

Simplify. Denominators are now the same.

\[\frac{12}{24}-\frac{18}{24}+\frac{20}{24}-\frac{21}{24}\]

Join the denominators.

\[\frac{12-18+20-21}{24}\]

Simplify.

\[-\frac{7}{24}\]

Decimal Form: -0.291667