# math,help

can someone show me these steps with the division like

2
---
1 which would mean half. the following though. so i can see it.

Simplify

3
--- + 1
x-5
-----------
1 - (4)/(x-5)

Get least common denominator.
For top part, the LCD is x-5. So the 1 becomes (x-5)/(x-5). Thus the top becomes (3 + x - 5)/(x - 5). This simplifies to (x-2)/(x-5).

Now do the bottom. The LCD is x-5. So the 1 becomes (x-5)/(x-5). So, the whole bottom part becomes (x-5-4)/(x-5).
This simplifies to (x-9)/(x-5).

Now you have complex fraction, where the top is: (x-2)/(x-5); and the bottom is (x-9)/(x-5). The (x-5)'s cancel, so you're left with:

(x-2)/(x-9).

I got the same answer. Hope I didn't make a mistake.

The top part, however, is not 1/2. It is 2.

Matt

Just to make sure, I added a random # in for x (7)

Matt

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Math

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. Explain all steps and identify the properties used. n/-3 + 5 > 4

2. ### algebra

Solve the system of equations algebraically. Show all of your steps. y=x^2+2x **y=x^2+2x (2/2)^2=1 1=answer** y=3x+20 **y=3x+20 (3/2)^2=2.25 2.25=answer** am i right or wrong, if im wrong could someone show me the steps

3. ### Algebra

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2 − 5 x + 4 and g ( x ) = 5 x 3 − 7 x + 4 . what is f ( x ) − g ( x ) ? Show all of your steps

4. ### math

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression 82+9(12÷3×2)−7 . Explain each of your steps.

1. ### Accounting

Materials used by Square Yard Products Inc. in producing Division 3's product are currently purchased from outside suppliers at a cost of \$5 per unit. However, the same materials are available from Division 6. Division 6 has

2. ### math

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A cylinder has diameter 34 m and height 27 m. A label at bottom states drawing not to scale. Find the volume of the cylinder.

3. ### Algebra 1 Highschool

I am stuck on this. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the system of equations algebraically. Show all of your steps. y = x^2 + 2x y = 3x +20

4. ### Math

Show that the set of non zero rational numbers is closed under division

1. ### physics

two point charges are 10.0 cm apart and have chargeso of 2.0 uC (micro)and -2 uC, respectively. What is the magnitude of the electric field at the midpoint between the two charges? i think the answr is zero.. but i don't

2. ### math

compare use < = > -5______9 answer all of the questions there are 14more after that and the essay ones are Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. One day at 3:00

3. ### math

I'm doing a portfolio in math rn and i need help, fast please. Lesson 11: Solving Inequalities by Multiplying or Dividing. Grade: 7 Versatile Distributive Property Portfolio Directions: Your family is having a day without

4. ### Math

2. Prove that there is no integer 𝑛 such that 7|4𝑛^2−3 3. Find the remainder by division by 7 of 99999999. 4. Find the remainder in the division by 17 of 15! 5. Let 𝑝 be a prime. Show that for all integer𝑎𝑎 we