Chapter 12: Q27. (page 696)

Solve the equation by first clearing the fractions.
$- \frac{1}{12} = \frac{1}{2} x - \frac{4}{9}$

Short Answer

Expert verified

The solution is $x = \frac{13}{18}$ .

Step by step solution

Step 1. Given Information.

The equation is $- \frac{1}{12} = \frac{1}{2} x - \frac{4}{9}$ .

Step 2. Calculation.

First, find out the LCD and then the LCD has to substitute each side.

$\begin{matrix} - \frac{1}{12} = \frac{1}{2} x - \frac{4}{9} \\ 36 (- \frac{1}{12}) = 36 (\frac{1}{2} x - \frac{4}{9}) \\ 36 (- \frac{1}{12}) = 36 (\frac{1}{2} x) - 36 (\frac{4}{9}) \\ - 3 = 18 x - 16 \end{matrix}$

On further simplification,

$\begin{matrix} 18 x = - 3 + 16 \\ 18 x = 13 \\ x = \frac{13}{18} \end{matrix}$

Step 3. Conclusion.

The solution of the given equation is $x = \frac{13}{18}$ .

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Solve the equation by first clearing the fractions.
$- \frac{1}{12} = \frac{1}{2} x - \frac{4}{9}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Solve the equation by first clearing the fractions.-112=12x-49

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

Solve the equation by first clearing the fractions.
$- \frac{1}{12} = \frac{1}{2} x - \frac{4}{9}$