Understanding Equivalent Fractions

Equivalent fractions are very important when we want to add or subtract fractions. They help us find a common denominator.

Why This Is Important:

• Common Denominator: To add or subtract fractions, they need to have the same bottom number, called the denominator.

Let's Look at an Example:

If we want to solve $\frac{1}{2} + \frac{1}{3}$, we first need to turn these fractions into equivalent fractions that have a common denominator.

How to Do It, Step by Step:

1. Find a Common Denominator:

   • The least common multiple (LCM) of 2 and 3 is 6.

2. Convert the Fractions:

   • Change $\frac{1}{2}$ to $\frac{3}{6}$.
   • Change $\frac{1}{3}$ to $\frac{2}{6}$.

3. Now, Add Them Together:

   • $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$.

This process shows how using equivalent fractions makes adding and subtracting easier and clearer!