Join the IDNLearn.com community and get your questions answered by experts. Ask any question and get a detailed, reliable answer from our community of experts.
Sagot :
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].
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].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.
