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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 denominator by multiplying the denominators of the two fractions.

**Example:**
\[
\frac{1}{2} \times \frac{10}{10} = \frac{10}{20} \\
\frac{3}{10} \times \frac{2}{2} = \frac{6}{20}
\]

1.
\[
\frac{2}{3} \times \frac{6}{6} = \frac{12}{18} \\
\frac{2}{6} \times \frac{3}{3} = \frac{6}{18}
\]

2.
\[
\frac{1}{4} \times \frac{8}{8} = \frac{8}{32} \\
\frac{1}{8} \times \frac{4}{4} = \frac{4}{32}
\]

3.
\[
\frac{1}{2} \times \frac{3}{3} = \frac{3}{6} \\
\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}
\]

4.
\[
\frac{3}{8} \times \frac{3}{3} = \frac{9}{24} \\
\frac{1}{3} \times \frac{8}{8} = \frac{8}{24}
\]

5.
\[
\frac{2}{5} \times \frac{10}{10} = \frac{20}{50} \\
\frac{3}{10} \times \frac{5}{5} = \frac{15}{50}
\]

6.
\[
\frac{3}{7} \times \frac{3}{3} = \frac{9}{21} \\
\frac{2}{3} \times \frac{7}{7} = \frac{14}{21}
\]

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.

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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