Give the equivalent ratio for each of the following: i) 3:2 ii) 1:6 iii) 5:4.
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Give the equivalent ratio for each of the following: i) 3:2 ii) 1:6 iii) 5:4.
Give the equivalent ratio for each of the following: i) 3:2 ii) 1:6 iii) 5:4.
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Answer:
3:2 = 6:4
1:6 = 2:12
5:4 = 10:8
Answer:
The equivalent ratio of:
(i) 3:2 = 6:4
(ii) 1:6 = 2:12
(iii) 5:4 = 10:8
Step-by-step explanation:
Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different!
3:2 = [tex]\frac{3}{2}[/tex]
1:6 = [tex]\frac{1}{6}[/tex]
5:4 = [tex]\frac{5}{4}[/tex]
Equivalent fraction of [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{2} *\frac{2}{2}=\frac{6}{4}[/tex]
Equivalent fraction of [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{6}*\frac{2}{2}=\frac{2}{12}[/tex]
Equivalent fraction of [tex]\frac{5}{4}[/tex] = [tex]\frac{5}{4}*\frac{2}{2}=\frac{10}{8}[/tex]
[tex]\frac{6}{4} =[/tex] 6:4
[tex]\frac{2}{12} =[/tex] 2:12
[tex]\frac{10}{8}=[/tex] 10:8
∴ The equivalent ratio of:
(i) 3:2 = 6:4
(ii) 1:6 = 2:12
(iii) 5:4 = 10:8
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