Question

The ratio of Alani's height is Baahir's height is 5:7, The ratio of Baahir's height to Conner's height is 4:3. What is the ratio of Alani's height to Conner's height?

Answer 1

General Idea:

When you have ratio a:b and b:c, to find the ratio of a:c, we need to multiply a:b with b:c. When multiplying fractions we need to multiply numerator with numerator and denominator with denominator. Then cancelling common terms we get the ratio a:c like shown below:

`(a)/(b)\cdot (b)/(c) =(a \cdot b)/(b \cdot c) \\ Cancel \; common\;factor\;b\;in\;numerator\;and\;denominator\\ \\ (a)/(c) =a:c`

Applying the concept:

`(5)/(7) \cdot (4)/(3) =(5 \cdot 4)/(7 \cdot 3) =(20)/(21)`

Conclusion:

Given that "The ratio of Alani's height is Baahir's height is 5:7, The ratio of Baahir's height to Conner's height is 4:3."

The ratio of Alani's height to Conner's height is 20:21