How do you multiply algebraic fractions?

To multiply algebraic fractions you treat them as if the numerators and denominators were integers. You multiply the numerators to form the new numerator and multiply the denominators to form the new denominator. Note you will often have to simplify the fractions after this.

An example would be (2x+4)/(7x+5) multiplied by (5x+6)/(3x+6). The answer would be (2x+4)(5x+6)/(7x+5)(4x+6) as per the aforementioned method. This would then be able to be simplified to (x+2)(5x+6)/(7x+5)(2x+3), as we divide the numerator and denominator by 2.