This fraction multiplication problem involves factoring the expressions firstly and then cancelling out similar terms from numerator and denominator. The product simplifies to 7/6.
To find the product of this equation, we have to multiply these two fractions. The thing to notice is both the numerator and the denominator of both the fractions can be factored.
First, we'll factor out the expressions:
(5w-20) becomes 5(w-4).
(3w+15) becomes 3(w+5).
(7w+35) becomes 7(w+5).
(10w+40) becomes 10(w+4).
Then the equation becomes:
[5(w-4) / 3(w+5)] * [7(w+5) / 10(w+4)]
Now you can easily cancel the similar terms from numerator and denominator. (w-4) in the numerator of first fraction cancels with (w-4) in the denominator of second fraction, similarly (w+5) cancels out. We then are left with:
(5*7) / (3*10)
Which becomes 35/30 = 7/6
So, the product simplifies to 7/6 in simplest form.
Learn more about Simplifying Expressions