Step-by-step explanation:
We need to write the following ratios with its simplest form.
1. [tex]\dfrac{21}{28}[/tex]
Factors of 21 = 3, 7
Factors of 28 = 2, 7, 2
[tex]\dfrac{21}{28}=\dfrac{3}{4}[/tex]
2. [tex]\dfrac{96}{32}[/tex]
Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 32 = 1, 2, 4, 8, 16, 32
[tex]\dfrac{96}{32}=\dfrac{3}{1}[/tex]
3. [tex]\dfrac{22}{33}[/tex]
Factors of 22 = 1, 2, 11, 22
Factors of 33 = 1, 3, 11, 33
[tex]\dfrac{22}{33}=\dfrac{2}{3}[/tex]
4. [tex]\dfrac{12}{36}[/tex]
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
[tex]\dfrac{12}{36}=\dfrac{1}{3}[/tex]
5. [tex]\dfrac{72}{56}[/tex]
Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56
[tex]\dfrac{72}{56}=\dfrac{9}{7}[/tex]
6. [tex]\dfrac{54}{63}[/tex]
Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54
Factors of 63 = 1, 3, 7, 9, 21, 63
[tex]\dfrac{54}{63}=\dfrac{6}{7}[/tex]
Hence, this is the required solution.
