Let's find two equivalent fractions for each of the given fractions:
1. For the fraction [tex]\(\frac{2}{4}\)[/tex]:
To find equivalent fractions, we can multiply both the numerator and the denominator by the same number. Let's use the numbers 2 and 3:
- Multiply both by 2: [tex]\(\frac{2 \times 2}{4 \times 2} = \frac{4}{8}\)[/tex]
- Multiply both by 3: [tex]\(\frac{2 \times 3}{4 \times 3} = \frac{6}{12}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{4}{8}\)[/tex] and [tex]\(\frac{6}{12}\)[/tex].
2. For the fraction [tex]\(\frac{2}{12}\)[/tex]:
- Multiply both by 2: [tex]\(\frac{2 \times 2}{12 \times 2} = \frac{4}{24}\)[/tex]
- Multiply both by 3: [tex]\(\frac{2 \times 3}{12 \times 3} = \frac{6}{36}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{4}{24}\)[/tex] and [tex]\(\frac{6}{36}\)[/tex].
3. For the fraction [tex]\(\frac{8}{14}\)[/tex]:
- Multiply both by 2: [tex]\(\frac{8 \times 2}{14 \times 2} = \frac{16}{28}\)[/tex]
- Multiply both by 3: [tex]\(\frac{8 \times 3}{14 \times 3} = \frac{24}{42}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{16}{28}\)[/tex] and [tex]\(\frac{24}{42}\)[/tex].
4. For the fraction [tex]\(\frac{4}{18}\)[/tex]:
- Multiply both by 2: [tex]\(\frac{4 \times 2}{18 \times 2} = \frac{8}{36}\)[/tex]
- Multiply both by 3: [tex]\(\frac{4 \times 3}{18 \times 3} = \frac{12}{54}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{8}{36}\)[/tex] and [tex]\(\frac{12}{54}\)[/tex].
5. For the fraction [tex]\(\frac{10}{24}\)[/tex]:
- Multiply both by 2: [tex]\(\frac{10 \times 2}{24 \times 2} = \frac{20}{48}\)[/tex]
- Multiply both by 3: [tex]\(\frac{10 \times 3}{24 \times 3} = \frac{30}{72}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{20}{48}\)[/tex] and [tex]\(\frac{30}{72}\)[/tex].
6. For the fraction [tex]\(\frac{4}{9}\)[/tex]:
- Multiply both by 2: [tex]\(\frac{4 \times 2}{9 \times 2} = \frac{8}{18}\)[/tex]
- Multiply both by 3: [tex]\(\frac{4 \times 3}{9 \times 3} = \frac{12}{27}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{8}{18}\)[/tex] and [tex]\(\frac{12}{27}\)[/tex].
7. For the fraction [tex]\(\frac{10}{20}\)[/tex]:
- Multiply both by 2: [tex]\(\frac{10 \times 2}{20 \times 2} = \frac{20}{40}\)[/tex]
- Multiply both by 3: [tex]\(\frac{10 \times 3}{20 \times 3} = \frac{30}{60}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{20}{40}\)[/tex] and [tex]\(\frac{30}{60}\)[/tex].
8. For the fraction [tex]\(\frac{18}{24}\)[/tex]:
- Multiply both by 2: [tex]\(\frac{18 \times 2}{24 \times 2} = \frac{36}{48}\)[/tex]
- Multiply both by 3: [tex]\(\frac{18 \times 3}{24 \times 3} = \frac{54}{72}\)[/tex]
So, two equivalent fractions are [tex]\(\frac{36}{48}\)[/tex] and [tex]\(\frac{54}{72}\)[/tex].
