MULTIPLICATION OF FRACTION –
To find the product of two algebraic fractions, multiply the numerator of one by the numerator of the other and the denominator of one by the denominator of the other. Then reduced the fraction to the lowest terms.
w y w X y wy
------- X ------- = ---------- = --------- where x ≠ 0 & z ≠ 0
x z x X z xz
There are some example are given below for your better understanding –
5a 7b
Example.1) -------- X --------
9x 6y
5a 7b 5 X 7 X a X b 35ab
Ans.) ------- X ------- = ---------------- = ---------- (Ans.)
9x 6y 9 X 6 X x X y 54xy
10a²b 14x²y²
Example.2) --------- X -----------
15xy⁴ 7a²bᶟ
10a²b 14x²y²
Ans.) ------- X -------
15xy⁴ 7a²bᶟ
5 X 2 X 7 X 2 X a X a X b X x X x X y X y
= -----------------------------------------------------
3 X 5 X 7 X x X y X y X y X y x a X a X b X b X b
2 X 2 X x X 4x
= ------------------- = ---------- (Ans.)
3 X y X y X b X b 3b²y²
Alternatively
10a²b 14x²y²
Ans.) ---------- X -----------
15xy⁴ 7a²bᶟ
5 X 2 X 7 X 2 X a² X b X x² X y²
= ------------------------------------
3 X 5 X 7 X x X y⁴ X a² X bᶟ
2 X 2 X a²⁻² X x²⁻¹
= ---------------------------
3 X y⁴⁻² X bᶟ⁻¹
4 X a⁰ X x¹ 4x
= ---------------- = ----------- (Ans.)
3 X y² X b² 3b²y²