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:

$\frac{a}{b}\cdot \frac{b}{c} =\frac{a \cdot b}{b \cdot c} \\ Cancel \; common\;factor\;b\;in\;numerator\;and\;denominator\\ \\ \frac{a}{c} =a:c$

Applying the concept:

$\frac{5}{7} \cdot \frac{4}{3} =\frac{5 \cdot 4}{7 \cdot 3} =\frac{20}{21}$

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