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What is the ratio of the sides of the triangle?
2:3:6
3:2:1
6:3:2
2:1:3
6:3:2
To find the inverse ratio of a:b:c, hide the number and multiply the other two, or find the LCM of terms and multiply each term by LCM/term. For 1:2:3, LCM=6. Terms are 6/1:6/2:6/3=6:3:2.
Ratio is 1 : 2 : 3
Inverse┬аRatio=a1тАЛ:b1тАЛ:c1тАЛ
To find the inverse ratio of a:b:c, hide the number and multiply the other two, or find the LCM of terms and multiply each term by LCM/term. For 1:2:3, LCM=6. Terms are 6/1:6/2:6/3=6:3:2.
Many students mistake inverse ratio for just reversing the order (3:2:1), which is incorrect.
Write the given ratio
The given ratio is 1:2:3. To find the inverse ratio, we take the reciprocal of each term.
11тАЛ:21тАЛ:31тАЛ
Find the Least Common Multiple (LCM)
Find the LCM of the denominators 1,2, and 3. The LCM=6.
LCM(1,2,3)=6
Convert to whole numbers
Multiply each fraction by the LCM 6 to convert the ratio into simplest whole number form.
(11тАЛ├Ч6):(21тАЛ├Ч6):(31тАЛ├Ч6)=6:3:2
C is correct because the inverse ratio of 1 : 2 : 3 is calculated as 6 : 3 : 2.
This concept is essential for problems involving sharing amounts inversely proportional to time or distance in Time & Work or Speed problems.
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