Love Ford
09/27/2023 · Middle School

What is the first step to solve this equation? \[ \frac{6}{x}+\frac{1}{4}=\frac{7}{x} \] The first step in solving the equation is to multiply both sides by

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To solve the equation \[ \frac{6}{x} + \frac{1}{4} = \frac{7}{x}, \] the first step is to eliminate the fractions. A common approach is to multiply both sides of the equation by \(4x\), which is the least common multiple of the denominators \(x\) and \(4\). So, the first step is to multiply both sides by \(4x\): \[ 4x \left( \frac{6}{x} + \frac{1}{4} \right) = 4x \left( \frac{7}{x} \right). \] This will help simplify the equation by removing the fractions.

Quick Answer

Multiply both sides by \(4x\) to eliminate the fractions.
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