Equivalent fractions are fractions that represent the same value, even though they have different numerators and denominators. For example, $\frac{1}{2}$ and $\frac{2}{4}$ are equivalent because they both represent half of a whole. To find equivalent fractions, you can multiply or divide both the numerator and denominator by the same non-zero number. Understanding equivalent fractions is crucial for adding, subtracting, and comparing fractions!
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Numerator | A. The number below the fraction bar |
| 2. Denominator | B. Fractions that represent the same value |
| 3. Equivalent Fractions | C. The number above the fraction bar |
| 4. Simplify | D. To reduce a fraction to its lowest terms |
| 5. Fraction | E. A part of a whole |
(Answers: 1-C, 2-A, 3-B, 4-D, 5-E)
Complete the following paragraph using the words: equivalent, multiply, divide, numerator, denominator.
Fractions are considered _________ if they represent the same amount. To find an equivalent fraction, you can either _________ or _________ both the _________ and the _________ by the same number.
(Answers: equivalent, multiply, divide, numerator, denominator)
Explain, in your own words, why it is important to understand equivalent fractions when adding fractions with different denominators.
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