# CLASS-8MULTIPLICATION OF ALGEBRAIC FRACTION

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