# Question Video: Using the Properties of Proportion to Find the Value of an Algebraic Fraction Mathematics

If π/π = 43/14 and π/π = 43/12, find the value of π/π.

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### Video Transcript

If π over π is equal to 43 over 14 and π over π is equal to 43 over 12, find the value of π over π.

This question is actually far simpler than it might first appear. Letβs begin by considering the two fractions we are given. Weβre told that π over π is equal to 43 over 14. π over π is equal to 43 over 12. In both of these fractions, the numerator π is equal to 43. This means that we can write the values of π, π, and π as a ratio. When π is equal to 43, π, the denominator of the first fraction, is 14. We also know that when π is equal to 43, π is equal to 12.

We need to focus on these last two terms as we want to find the value of π over π. When π is equal to 14, we know that π is equal to 12. Therefore, π over π is equal to 12 over 14. As these two values are even, theyβre both divisible by two. The fraction, therefore, simplifies to six over seven or six-sevenths. If π over π is equal to 43 over 14 and π over π is equal to 43 over 12, then π over π is equal to 6 over 7.