How do you cancel a fraction in an algebraic equation?

To eliminate a fraction in an algebraic equation, you multiply every term on both sides of the equation by the denominator of the fraction.

Here's a breakdown of the process:

Steps to Cancel a Fraction in an Equation

1. Identify the fraction: Locate the fraction within the equation.
2. Identify the denominator: Determine the denominator of the fraction.
3. Multiply both sides: Multiply every term on both sides of the equation by the denominator you identified. This is a crucial step (as highlighted in the provided YouTube video excerpt) to maintain the equation's balance.

Example

Let's say you have the equation:

x/3 + 2 = 5

To cancel the fraction (x/3), follow these steps:

1. Fraction: x/3

2. Denominator: 3

3. Multiply both sides by 3:

   3 (x/3 + 2) = 3 5

   3 (x/3) + 3 2 = 15

   x + 6 = 15

Now, the fraction is eliminated, and you can proceed to solve for x.