Equivalent

When two or more fractions, decimals, or percentages represent the same value, they are considered to be equivalent. In other words, they are different ways of writing the same quantity.

Examples:

1/2, 2/4, and 5/10 are equivalent fractions because they all represent the same portion of a whole.

0.5 and 50% are equivalent representations of the same value as a decimal and percentage.

How to Determine if Two Fractions are Equivalent:

To determine if two fractions are equivalent, you can cross-multiply and check if the products are equal. If the products are equal, then the fractions are equivalent.

For example, to check if 3/4 and 6/8 are equivalent:

3 x 8 = 24

4 x 6 = 24

Since the products are equal, 3/4 and 6/8 are equivalent fractions.

Study Guide:

1. Practice identifying equivalent fractions, decimals, and percentages.

2. Learn how to simplify fractions to their simplest or lowest terms.

3. Understand the concept of cross-multiplication to determine if fractions are equivalent.

4. Use visual models such as fraction bars or circles to understand equivalent fractions.

5. Practice converting between fractions, decimals, and percentages while maintaining equivalence.