Final answer:
To solve a linear equation with fractions, first clear the fractions by multiplying by the least common denominator, then isolate the variable using algebraic principles, and finally solve for the unknown.
Step-by-step explanation:
When solving a linear equation with fractions, the aim is to find the value of the variable that makes the equation true. To do this, you may first simplify the equation by multiplying both sides of the equation by the least common denominator (LCD) to clear the fractions. This step results in an equation without fractions, which is typically easier to solve.
Then, you apply algebraic principles to isolate the variable on one side of the equation. This often involves performing the same operation on both sides of the equals sign to maintain equality. For example, if you are adding fractions, it's important to have a common denominator, and when multiplying, you multiply the numerators and the denominators together, simplifying as necessary.
Keep in mind that any fraction with the same quantity in the numerator as the denominator equals 1. This property can be used to simplify equations further. The final step is to solve for the unknown variable using standard algebraic methods.