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Answer :
Sure! Let's find the pairs of equivalent fractions from the given list:
1. Understanding Equivalent Fractions: Equivalent fractions represent the same portion of a whole, even if they look different. They can be found by simplifying each fraction to its simplest form and seeing if two fractions reduce to the same value.
2. Fractions to Analyze:
- [tex]\(\frac{2}{3}\)[/tex]
- [tex]\(\frac{18}{20}\)[/tex]
- [tex]\(\frac{2}{5}\)[/tex]
- [tex]\(\frac{4}{6}\)[/tex]
- [tex]\(\frac{14}{16}\)[/tex]
- [tex]\(\frac{1}{4}\)[/tex]
- [tex]\(\frac{21}{24}\)[/tex]
- [tex]\(\frac{9}{10}\)[/tex]
- [tex]\(\frac{2}{8}\)[/tex]
- [tex]\(\frac{8}{20}\)[/tex]
3. Finding Equivalent Fractions:
- Pair 1: [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{4}{6}\)[/tex]. Both simplify to [tex]\(\frac{2}{3}\)[/tex].
- Pair 2: [tex]\(\frac{9}{10}\)[/tex] and [tex]\(\frac{18}{20}\)[/tex]. Both simplify to [tex]\(\frac{9}{10}\)[/tex].
- Pair 3: [tex]\(\frac{2}{5}\)[/tex] and [tex]\(\frac{8}{20}\)[/tex]. Both simplify to [tex]\(\frac{2}{5}\)[/tex].
- Pair 4: [tex]\(\frac{21}{24}\)[/tex] and [tex]\(\frac{14}{16}\)[/tex]. Both simplify to [tex]\(\frac{7}{8}\)[/tex].
- Pair 5: [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{2}{8}\)[/tex]. Both simplify to [tex]\(\frac{1}{4}\)[/tex].
These are the pairs of equivalent fractions based on their simplest forms. Each pair represents the same value, even if the actual numerators and denominators differ before simplification.
1. Understanding Equivalent Fractions: Equivalent fractions represent the same portion of a whole, even if they look different. They can be found by simplifying each fraction to its simplest form and seeing if two fractions reduce to the same value.
2. Fractions to Analyze:
- [tex]\(\frac{2}{3}\)[/tex]
- [tex]\(\frac{18}{20}\)[/tex]
- [tex]\(\frac{2}{5}\)[/tex]
- [tex]\(\frac{4}{6}\)[/tex]
- [tex]\(\frac{14}{16}\)[/tex]
- [tex]\(\frac{1}{4}\)[/tex]
- [tex]\(\frac{21}{24}\)[/tex]
- [tex]\(\frac{9}{10}\)[/tex]
- [tex]\(\frac{2}{8}\)[/tex]
- [tex]\(\frac{8}{20}\)[/tex]
3. Finding Equivalent Fractions:
- Pair 1: [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{4}{6}\)[/tex]. Both simplify to [tex]\(\frac{2}{3}\)[/tex].
- Pair 2: [tex]\(\frac{9}{10}\)[/tex] and [tex]\(\frac{18}{20}\)[/tex]. Both simplify to [tex]\(\frac{9}{10}\)[/tex].
- Pair 3: [tex]\(\frac{2}{5}\)[/tex] and [tex]\(\frac{8}{20}\)[/tex]. Both simplify to [tex]\(\frac{2}{5}\)[/tex].
- Pair 4: [tex]\(\frac{21}{24}\)[/tex] and [tex]\(\frac{14}{16}\)[/tex]. Both simplify to [tex]\(\frac{7}{8}\)[/tex].
- Pair 5: [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{2}{8}\)[/tex]. Both simplify to [tex]\(\frac{1}{4}\)[/tex].
These are the pairs of equivalent fractions based on their simplest forms. Each pair represents the same value, even if the actual numerators and denominators differ before simplification.
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