Mastering Linear Equations with Fractions: Easy Step-by-Step Guide ✨

To solve linear equations with fractions, the main goal is to eliminate the fractions so that the equation becomes easier to work with. Here’s a step-by-step approach:<br /><br />Step 1: Identify the Denominators<br /><br />Look at all the fractions in the equation and note their denominators.<br /><br />Step 2: Find the Least Common Denominator (LCD)<br /><br />Identify the least common denominator (LCD) of all the fractions. This is the smallest number that each denominator can divide into without leaving a remainder.<br /><br />Step 3: Multiply Every Term by the LCD<br /><br />Multiply every term on both sides of the equation by the LCD. This step will clear out the fractions.<br /><br />Step 4: Simplify the Equation<br /><br />After multiplying, simplify each term. The denominators should now cancel out, leaving you with a simpler equation without fractions.<br /><br />Step 5: Solve the Resulting Equation<br /><br />Now you have a standard linear equation without fractions. Use basic algebraic steps to solve for the unknown variable (such as isolating the variable on one side).<br /><br />Step 6: Check Your Solution<br /><br />Substitute your solution back into the original equation to ensure it satisfies the equation.