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 the denominator by the same non-zero number. This worksheet will help you practice identifying and creating equivalent fractions.
Match the term with its correct 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. The process of reducing a fraction to its lowest terms |
| 5. Fraction | e. A part of a whole |
Complete the following paragraph with the correct words.
To find an ___________ fraction, you can multiply or divide both the numerator and the ____________ by the same number. For example, to find a fraction equivalent to $\frac{1}{3}$, you can multiply both parts by 2, giving you $\frac{2}{6}$. The process of reducing a fraction to its simplest form is called __________. Equivalent fractions represent the _______ amount, but have different numbers.
Explain in your own words why $\frac{3}{6}$ and $\frac{1}{2}$ are equivalent fractions. Give a real-world example.
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