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Write each fraction in simplest form.

30. [tex]\frac{35}{45}[/tex]
31. [tex]\frac{36}{42}[/tex]
32. [tex]\frac{56}{72}[/tex]
33. [tex]\frac{22}{55}[/tex]
34. [tex]\frac{18}{81}[/tex]

35. [tex]\frac{24}{30}[/tex]
36. [tex]\frac{16}{40}[/tex]
37. [tex]\frac{24}{36}[/tex]
38. [tex]\frac{27}{63}[/tex]
39. [tex]\frac{72}{88}[/tex]

Answer :

Certainly! Let's simplify each fraction step-by-step, showing how they are reduced to their simplest forms:

30. [tex]\(\frac{35}{45}\)[/tex]
- Find the greatest common divisor (GCD) of 35 and 45, which is 5.
- Divide both numerator and denominator by 5:
[tex]\[
\frac{35 \div 5}{45 \div 5} = \frac{7}{9}
\][/tex]

31. [tex]\(\frac{36}{42}\)[/tex]
- Find the GCD of 36 and 42, which is 6.
- Divide both numerator and denominator by 6:
[tex]\[
\frac{36 \div 6}{42 \div 6} = \frac{6}{7}
\][/tex]

32. [tex]\(\frac{56}{72}\)[/tex]
- Find the GCD of 56 and 72, which is 8.
- Divide both numerator and denominator by 8:
[tex]\[
\frac{56 \div 8}{72 \div 8} = \frac{7}{9}
\][/tex]

33. [tex]\(\frac{22}{55}\)[/tex]
- Find the GCD of 22 and 55, which is 11.
- Divide both numerator and denominator by 11:
[tex]\[
\frac{22 \div 11}{55 \div 11} = \frac{2}{5}
\][/tex]

34. [tex]\(\frac{18}{81}\)[/tex]
- Find the GCD of 18 and 81, which is 9.
- Divide both numerator and denominator by 9:
[tex]\[
\frac{18 \div 9}{81 \div 9} = \frac{2}{9}
\][/tex]

35. [tex]\(\frac{24}{30}\)[/tex]
- Find the GCD of 24 and 30, which is 6.
- Divide both numerator and denominator by 6:
[tex]\[
\frac{24 \div 6}{30 \div 6} = \frac{4}{5}
\][/tex]

36. [tex]\(\frac{16}{40}\)[/tex]
- Find the GCD of 16 and 40, which is 8.
- Divide both numerator and denominator by 8:
[tex]\[
\frac{16 \div 8}{40 \div 8} = \frac{2}{5}
\][/tex]

37. [tex]\(\frac{24}{36}\)[/tex]
- Find the GCD of 24 and 36, which is 12.
- Divide both numerator and denominator by 12:
[tex]\[
\frac{24 \div 12}{36 \div 12} = \frac{2}{3}
\][/tex]

38. [tex]\(\frac{27}{63}\)[/tex]
- Find the GCD of 27 and 63, which is 9.
- Divide both numerator and denominator by 9:
[tex]\[
\frac{27 \div 9}{63 \div 9} = \frac{3}{7}
\][/tex]

39. [tex]\(\frac{72}{88}\)[/tex]
- Find the GCD of 72 and 88, which is 8.
- Divide both numerator and denominator by 8:
[tex]\[
\frac{72 \div 8}{88 \div 8} = \frac{9}{11}
\][/tex]

These are the simplified forms of the given fractions!

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