Rational expression with given denominator

Question

Rewrite the rational expression with the given denominator.

19/50y=?/100y^3

Answer 1

Hi Jessica. This might look scary, but it's really just a fraction problem.

Rewrite the rational expression with the given denominator. 19/50y=?/100y^3

The Golden Rule of Fractions is whatever you do to the numerator, you also have to do to the denominator (and vice versa).

So let's go step-by-step:

What did we do to 50y to make it become 100y³?

1. we multiplied 50 by 2 to get 100
2. we multiplied y by y² to get y³
3. put it together, and we ended up multiplying 50y by 2y² to get 100y³

Now follow the Golden Rule of Fractions:

Multiply 19 by 2y² = 38y²

Put the expression back together:

1. 19/50y = 38y²/100y³