Combine the expressions in the numerator and those in the denominator. Then, multiply the new numerator by the reciprocal of the new denominator.
G
Practice makes perfect
A complex fraction is a rational expression that has at least one fraction in its numerator or denominator, or both. We want to find a simpler form of the given complex fraction.
1b+c/b+ 1c
To do so, we will combine the expressions in the numerator and those in the denominator. Then, we will multiply the new numerator by the reciprocal of the new denominator. Let's start by simplifying the numerator.
Next, we can rewrite the complex fraction using the simplified components.
1b+c/b+ 1c ⇔ 1+bcb/bc +1c
Finally, we will multiply the numerator by the reciprocal of the new denominator.
1+bcb/bc +1c ⇔ 1+bc/b * c/bc +1
We can simplify this expression.
