We appreciate your visit to Student Name Common Denominator Practice Directions Create equivalent fractions with common denominators for each pair of fractions On this page we ll find the common. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's work through each pair of fractions to find equivalent fractions with a common denominator by multiplying their denominators.
1. Fractions: [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{2}{6}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(3 \times 6 = 18\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{2}{3} \times \frac{6}{6} = \frac{12}{18}\)[/tex]
- [tex]\(\frac{2}{6} \times \frac{3}{3} = \frac{6}{18}\)[/tex]
2. Fractions: [tex]\(\frac{2}{5}\)[/tex] and [tex]\(\frac{3}{10}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(5 \times 10 = 50\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{2}{5} \times \frac{10}{10} = \frac{20}{50}\)[/tex]
- [tex]\(\frac{3}{10} \times \frac{5}{5} = \frac{15}{50}\)[/tex]
3. Fractions: [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{1}{8}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(4 \times 8 = 32\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{1}{4} \times \frac{8}{8} = \frac{8}{32}\)[/tex]
- [tex]\(\frac{1}{8} \times \frac{4}{4} = \frac{4}{32}\)[/tex]
4. Fractions: [tex]\(\frac{1}{2}\)[/tex] and [tex]\(\frac{2}{3}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(2 \times 3 = 6\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{1}{2} \times \frac{3}{3} = \frac{3}{6}\)[/tex]
- [tex]\(\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}\)[/tex]
5. Fractions: [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{1}{3}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(8 \times 3 = 24\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{3}{8} \times \frac{3}{3} = \frac{9}{24}\)[/tex]
- [tex]\(\frac{1}{3} \times \frac{8}{8} = \frac{8}{24}\)[/tex]
These steps provide the equivalent fractions for each pair with a common denominator.
1. Fractions: [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{2}{6}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(3 \times 6 = 18\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{2}{3} \times \frac{6}{6} = \frac{12}{18}\)[/tex]
- [tex]\(\frac{2}{6} \times \frac{3}{3} = \frac{6}{18}\)[/tex]
2. Fractions: [tex]\(\frac{2}{5}\)[/tex] and [tex]\(\frac{3}{10}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(5 \times 10 = 50\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{2}{5} \times \frac{10}{10} = \frac{20}{50}\)[/tex]
- [tex]\(\frac{3}{10} \times \frac{5}{5} = \frac{15}{50}\)[/tex]
3. Fractions: [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{1}{8}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(4 \times 8 = 32\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{1}{4} \times \frac{8}{8} = \frac{8}{32}\)[/tex]
- [tex]\(\frac{1}{8} \times \frac{4}{4} = \frac{4}{32}\)[/tex]
4. Fractions: [tex]\(\frac{1}{2}\)[/tex] and [tex]\(\frac{2}{3}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(2 \times 3 = 6\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{1}{2} \times \frac{3}{3} = \frac{3}{6}\)[/tex]
- [tex]\(\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}\)[/tex]
5. Fractions: [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{1}{3}\)[/tex]:
- Common Denominator: Multiply the denominators, [tex]\(8 \times 3 = 24\)[/tex].
- Equivalent Fractions:
- [tex]\(\frac{3}{8} \times \frac{3}{3} = \frac{9}{24}\)[/tex]
- [tex]\(\frac{1}{3} \times \frac{8}{8} = \frac{8}{24}\)[/tex]
These steps provide the equivalent fractions for each pair with a common denominator.
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