Simplify each complex fraction. See Examples 5 and 6.

4
- —
3...

Question

Simplify each complex fraction. See Examples 5 and 6.

4
 - —
 3
————
 2
 —
 9

Accepted Answer

Hello, everyone. We are asked to simplify the following rational expression. We have the parentheses negative 22 divided by five, divided by the parentheses. 11 divided by 25. Our answer choices are a negative 10 B negative 11 C D 12. I'm gonna start by rewriting this as a complex fraction. So I'll have negative 22 divided by five as my numerator and 11 divided by 25 is my denominator. I can see it a little clearer this way and now that I'm looking at it, I'm gonna rewrite it as the division of fractions. So I'm gonna rewrite it as negative 22 divided by five, divided by 11, divided by 25. From here. I recall that when I divide fractions, I actually multiply by the reciprocal of the second fraction. So I'm rewriting negative 22 5th and multiplying it by the reciprocal of 11 25th, which will be 25 11th from here. I can cross reduce. So I can reduce any numerator with any denominator. So I can reduce 5 to 1 and 25 to 5. I can also reduce 11 to 1 and negative 22 to negative two. I don't think there's anything else to reduce. So we're gonna multiply straight across our numerator and we'll have negative two multiplied by five, which is negative 10, 1 multiplied by one is one. Recall that any number divided by one is just itself. So this is negative 10. When it is simplified, that is our answer and it is answer choice a have a nice day.

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Simplify each complex fraction. See Examples 5 and 6. 4 - — 3 ———— 2 — 9