Answer :
Sure! Let's simplify each fraction to its simplest form step by step.
4. [tex]\(\frac{12}{24}\)[/tex]
- Find the greatest common factor (GCF) of 12 and 24, which is 12.
- Divide both the numerator and denominator by 12:
[tex]\(\frac{12 \div 12}{24 \div 12} = \frac{1}{2}\)[/tex]
- So, [tex]\(\frac{12}{24}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
5. [tex]\(\frac{9}{21}\)[/tex]
- Find the GCF of 9 and 21, which is 3.
- Divide both the numerator and denominator by 3:
[tex]\(\frac{9 \div 3}{21 \div 3} = \frac{3}{7}\)[/tex]
- So, [tex]\(\frac{9}{21}\)[/tex] simplifies to [tex]\(\frac{3}{7}\)[/tex].
8. [tex]\(\frac{18}{20}\)[/tex]
- Find the GCF of 18 and 20, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{18 \div 2}{20 \div 2} = \frac{9}{10}\)[/tex]
- So, [tex]\(\frac{18}{20}\)[/tex] simplifies to [tex]\(\frac{9}{10}\)[/tex].
9. [tex]\(\frac{30}{38}\)[/tex]
- Find the GCF of 30 and 38, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{30 \div 2}{38 \div 2} = \frac{15}{19}\)[/tex]
- So, [tex]\(\frac{30}{38}\)[/tex] simplifies to [tex]\(\frac{15}{19}\)[/tex].
12. [tex]\(\frac{14}{32}\)[/tex]
- Find the GCF of 14 and 32, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{14 \div 2}{32 \div 2} = \frac{7}{16}\)[/tex]
- So, [tex]\(\frac{14}{32}\)[/tex] simplifies to [tex]\(\frac{7}{16}\)[/tex].
13. [tex]\(\frac{8}{12}\)[/tex]
- Find the GCF of 8 and 12, which is 4.
- Divide both the numerator and denominator by 4:
[tex]\(\frac{8 \div 4}{12 \div 4} = \frac{2}{3}\)[/tex]
- So, [tex]\(\frac{8}{12}\)[/tex] simplifies to [tex]\(\frac{2}{3}\)[/tex].
16. [tex]\(\frac{9}{15}\)[/tex]
- Find the GCF of 9 and 15, which is 3.
- Divide both the numerator and denominator by 3:
[tex]\(\frac{9 \div 3}{15 \div 3} = \frac{3}{5}\)[/tex]
- So, [tex]\(\frac{9}{15}\)[/tex] simplifies to [tex]\(\frac{3}{5}\)[/tex].
17. [tex]\(\frac{6}{42}\)[/tex]
- Find the GCF of 6 and 42, which is 6.
- Divide both the numerator and denominator by 6:
[tex]\(\frac{6 \div 6}{42 \div 6} = \frac{1}{7}\)[/tex]
- So, [tex]\(\frac{6}{42}\)[/tex] simplifies to [tex]\(\frac{1}{7}\)[/tex].
20. [tex]\(\frac{6}{10}\)[/tex]
- Find the GCF of 6 and 10, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{6 \div 2}{10 \div 2} = \frac{3}{5}\)[/tex]
- So, [tex]\(\frac{6}{10}\)[/tex] simplifies to [tex]\(\frac{3}{5}\)[/tex].
21. [tex]\(\frac{6}{12}\)[/tex]
- Find the GCF of 6 and 12, which is 6.
- Divide both the numerator and denominator by 6:
[tex]\(\frac{6 \div 6}{12 \div 6} = \frac{1}{2}\)[/tex]
- So, [tex]\(\frac{6}{12}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
24. [tex]\(\frac{14}{24}\)[/tex]
- Find the GCF of 14 and 24, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{14 \div 2}{24 \div 2} = \frac{7}{12}\)[/tex]
- So, [tex]\(\frac{14}{24}\)[/tex] simplifies to [tex]\(\frac{7}{12}\)[/tex].
25. [tex]\(\frac{36}{48}\)[/tex]
- Find the GCF of 36 and 48, which is 12.
- Divide both the numerator and denominator by 12:
[tex]\(\frac{36 \div 12}{48 \div 12} = \frac{3}{4}\)[/tex]
- So, [tex]\(\frac{36}{48}\)[/tex] simplifies to [tex]\(\frac{3}{4}\)[/tex].
These are the simplified forms of the given fractions!
4. [tex]\(\frac{12}{24}\)[/tex]
- Find the greatest common factor (GCF) of 12 and 24, which is 12.
- Divide both the numerator and denominator by 12:
[tex]\(\frac{12 \div 12}{24 \div 12} = \frac{1}{2}\)[/tex]
- So, [tex]\(\frac{12}{24}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
5. [tex]\(\frac{9}{21}\)[/tex]
- Find the GCF of 9 and 21, which is 3.
- Divide both the numerator and denominator by 3:
[tex]\(\frac{9 \div 3}{21 \div 3} = \frac{3}{7}\)[/tex]
- So, [tex]\(\frac{9}{21}\)[/tex] simplifies to [tex]\(\frac{3}{7}\)[/tex].
8. [tex]\(\frac{18}{20}\)[/tex]
- Find the GCF of 18 and 20, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{18 \div 2}{20 \div 2} = \frac{9}{10}\)[/tex]
- So, [tex]\(\frac{18}{20}\)[/tex] simplifies to [tex]\(\frac{9}{10}\)[/tex].
9. [tex]\(\frac{30}{38}\)[/tex]
- Find the GCF of 30 and 38, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{30 \div 2}{38 \div 2} = \frac{15}{19}\)[/tex]
- So, [tex]\(\frac{30}{38}\)[/tex] simplifies to [tex]\(\frac{15}{19}\)[/tex].
12. [tex]\(\frac{14}{32}\)[/tex]
- Find the GCF of 14 and 32, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{14 \div 2}{32 \div 2} = \frac{7}{16}\)[/tex]
- So, [tex]\(\frac{14}{32}\)[/tex] simplifies to [tex]\(\frac{7}{16}\)[/tex].
13. [tex]\(\frac{8}{12}\)[/tex]
- Find the GCF of 8 and 12, which is 4.
- Divide both the numerator and denominator by 4:
[tex]\(\frac{8 \div 4}{12 \div 4} = \frac{2}{3}\)[/tex]
- So, [tex]\(\frac{8}{12}\)[/tex] simplifies to [tex]\(\frac{2}{3}\)[/tex].
16. [tex]\(\frac{9}{15}\)[/tex]
- Find the GCF of 9 and 15, which is 3.
- Divide both the numerator and denominator by 3:
[tex]\(\frac{9 \div 3}{15 \div 3} = \frac{3}{5}\)[/tex]
- So, [tex]\(\frac{9}{15}\)[/tex] simplifies to [tex]\(\frac{3}{5}\)[/tex].
17. [tex]\(\frac{6}{42}\)[/tex]
- Find the GCF of 6 and 42, which is 6.
- Divide both the numerator and denominator by 6:
[tex]\(\frac{6 \div 6}{42 \div 6} = \frac{1}{7}\)[/tex]
- So, [tex]\(\frac{6}{42}\)[/tex] simplifies to [tex]\(\frac{1}{7}\)[/tex].
20. [tex]\(\frac{6}{10}\)[/tex]
- Find the GCF of 6 and 10, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{6 \div 2}{10 \div 2} = \frac{3}{5}\)[/tex]
- So, [tex]\(\frac{6}{10}\)[/tex] simplifies to [tex]\(\frac{3}{5}\)[/tex].
21. [tex]\(\frac{6}{12}\)[/tex]
- Find the GCF of 6 and 12, which is 6.
- Divide both the numerator and denominator by 6:
[tex]\(\frac{6 \div 6}{12 \div 6} = \frac{1}{2}\)[/tex]
- So, [tex]\(\frac{6}{12}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
24. [tex]\(\frac{14}{24}\)[/tex]
- Find the GCF of 14 and 24, which is 2.
- Divide both the numerator and denominator by 2:
[tex]\(\frac{14 \div 2}{24 \div 2} = \frac{7}{12}\)[/tex]
- So, [tex]\(\frac{14}{24}\)[/tex] simplifies to [tex]\(\frac{7}{12}\)[/tex].
25. [tex]\(\frac{36}{48}\)[/tex]
- Find the GCF of 36 and 48, which is 12.
- Divide both the numerator and denominator by 12:
[tex]\(\frac{36 \div 12}{48 \div 12} = \frac{3}{4}\)[/tex]
- So, [tex]\(\frac{36}{48}\)[/tex] simplifies to [tex]\(\frac{3}{4}\)[/tex].
These are the simplified forms of the given fractions!
