Skip to main content
N

Nigel Emard

Feb 12, 2025

simplify the complex fraction. y -1/ y2 + y -6 over y-6/y+3?

Simplify the following complex fraction:

[ \frac{\frac{y - 1}{y^2 + y - 6}}{\frac{y - 6}{y + 3}} ]

What is the simplified result?

3 Answers

A
Anonymous

Jan 30, 2025

(y – 1)/(y^2 + y – 6) / ((y – 6)/(y + 3))

= (y – 1)/((y + 3)(y – 2)) / ((y – 6)/(y + 3))

= (y – 1)/((y – 2)(y – 6))

A
Anonymous

Feb 19, 2025

Break the complex fraction up into division:

(y – 1) / (y^2 + y – 6) ÷ (y – 6) / (y + 3)

Factor out as much as possible:

(y – 1) / (y + 3)(y – 2) ÷ (y – 6) / (y + 3)

Like you would in normal fractional divison, flip the second fraction and multiply:

(y – 1) / (y + 3)(y – 2) x (y + 3) / (y – 6)

When multiplying fractions you can simplify either vertically or diagonally, NEVER horizontally. So simplify the (y + 3) and (y + 3):

(y – 1) / (y – 2) x 1 / (y – 6)

Now multiply the numerators and denominators into each other:

(y – 1) / (y – 2)(y – 6)

A
Anonymous

Jan 11, 2025

Note that brackets MUST be used.

(y – 1) / (y² + y – 6)

—————————

(y – 6) / (y + 3)

(y – 1) (y + 3)

———————–

(y – 6) (y + 3)(y – 2)

y – 1

—————-

(y – 6) (y – 2)

Want to answer this question?

Join our community to share your knowledge!

Related Questions

3
Another expression for “it is raining” is “Está nublado.”

Question 1 (Yes/No Worth 1 point): Another expression for "it is raining" is "Está nublado." (Yes/No) Question 3 (Fill-i...

1
Guys help please!! Just 1 Algebra 2 question?

I need assistance with an Algebra 2 problem. The question states that the variable ( r ) varies directly with ( s ) and...

2
how is Frank Garza’s Jockey School?

I hope this message finds you well. I have a few questions regarding Frank Garza’s Jockey School. I want to clarify that...

8
I am in 12th……I hav my physics board exam tomorrow……how do I complete my full course in one day ?

I'm in 12th grade, and I have my physics board exam tomorrow. How can I effectively cover the entire course material in...

3
In circle O, ST is a diameter. What must be the value of x?

In circle O, ST is a diameter. What is the value of x if (2x + 8) equals one of the following options: 22.0, 25.0, 25.4,...

6
projectile motion homework?

A rescue pilot needs to drop a survival kit while flying at an altitude of 2,000.0 meters with a forward velocity of 100...

10
Preschool vs. Montessori?

Hi everyone, I’m trying to make a decision between enrolling my child in a preschool or a Montessori program. He’s curr...

3
what is the hybridization of phosphorus atom in PCl3?

What is the hybridization of the phosphorus atom in PCl3? Additionally, could you please provide an explanation of the s...

4
What should I wear for Home Depot orientation tomorrow?

I just got hired for a part-time sales job at Home Depot, and I have my orientation tomorrow. I've never had a job where...

7
Which view in a presentation program displays your slides in full-screen mode?

What view in a presentation program allows you to display your slides in full-screen mode?