### Examples of using Operations with Fractions

Dividing of fractions with rational exponents Converting to the LCD Addition of fractions with rational exponents See attached file for full problem description.

Dividing of fractions with rational exponents Converting to the LCD Addition of fractions with rational exponents See attached file for full problem description.

The speed of a freight train is 15ph slower that the speed of a passenger train. The freight train travels 390 mi in the same time that it takes the passenger train to travel 480 mi. Find the speed of each train. It takes 60 oz of grass seed to seed 3000ft^2 of lawn. At the rate how much would be needed to seed 5000ft^2 of

6.8 5. By checking work records, a contractor finds that Kenny Dewitt can wire a room addition in 9 hr. It takes Betty Wohnt 7 hr to wire the same room. How long would it take if they worked together? 9. The HP Officejet 4215 All-in-one printer, fax, scanner, and copier can print in black one copy of a company's year-end

You have a 4x6 photograph that you would like to have enlarged. If the desired new width it 6 inches what should the length be?

Bear Population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population?

Reduce to lowest terms. See attached file for full problem description.

Y-3 -1 ____= _____ for y x+2 5

M^2-1 2m-2 ________ . _______ (m-1)^2 3m+3

Two problems x^2-4 4x -8 ______ divided by _________ x x 4 1 _______ + _______ a^2 - 1 2a + 2

3 3 ____ - _____ x-1 x problem #2 2 6x-12 ____ . _______ x-2 14

Solve for x: 2 (x - 3) + 3 = -5 (-5x - 1) + 3x

1. A lawyer bills her clients $250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax). 2. A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a ma

Question: Solve for X. Write your answer as a fraction in simplest form. Solve: 4/3x - 3 = 7/4x - 4/3

A local hamburger shop sold 423 hamburgers and cheeseburgers on Tuesday. The number of cheeseburgers sold is two times the number of hamburgers sold. How many cheeseburgers did they sell?

The Older Then Dirt potting soil company uses a machine to fill 40-pound bags of enriched potting soil. The machine has a process standard deviation of 4 ounces. A new industry group wants to sets limits on what can be called a 40-pound bag: a 40-pound bad of dirt must weight at least 39 pounds, 2 ounces and no more than 40 p

Maria decided to start saving money. She put $35 in her drawer to start out, and she puts an additional $5 in the drawer each month. Let A represent the total amount of money (in dollars) in the drawer, and let N represent the number of months that Maria has been saving. Write an equation relating to A to N.

Evaluate: 9/-5 - (-7/8).

What is the diameter of a circle with a radius of 23 3/5? YES, this is a fraction problem and please break it down. THANKS

When we have two fractions on either sides of an equality or inequality symbol, we can multiply the numerator on the right hand side (RHS) with the denominator of the left hand side (LHS) and the numerator of LHS with denominator of RHS. The process of multiplying across the symbol and down is referred to as cross-multiplicati

-9/10 x 4/3

Please see the attached file for the fully formatted problems.

Reduce the following rational expression to its lowest terms: 9t^5 x^3 ----------------------- 15 t^2 y^2 + 9t^4

Express the following compound fraction in lowest terms 10c^2 d ------------- 7ab^3 --------------- 5c^3 d^4 --------------- 14b^5

Allison is saving money to buy a video game system. In the first week, her savings were $8 less than 2/5 the price of the system. In the second week, she saved 50 cents more than 1/2 the price of the system. She was still $37.00 short. Find the price of the system.

The ratio of taxis to private automobiles int imes square @ 6pm on New Year's Eve was estimated to be 15 to 2. If there were 60 taxis, then how many private automobiles were there?

Perform the operation. x 3x --------------- - ------------- x^2 - 2x - 3 x^2 - 9

1 3 4 + -------- = - ----- w -2 w -3

y^2 - 10y + 21 --------------------- 6y^2 - 54

4 2-3x --------- + ----- x + 2 x

A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank? keywords: least, lowest common mu