You are an engineer with Ace Foundations, Inc. Your company has been hired to build a

In fractions, the number above the division line is the _________ ; the number below the division line is the ___________ . (2-1)

The numerator of a proper fraction is ___________ than the denominator. (2-1)

To convert an improper fraction to a whole or mixed number, we ___________ the numerator by the denominator. (2-2)

To convert a mixed number to an improper fraction, we begin by multiplying the denominator by the ___________ number. (2-3)

A fraction can be reduced to lowest terms by inspection or by the greatest common ___________ method. (2-4)

Common multiples are whole numbers used to raise fractions to ___________ terms. (2-5)

In addition and subtraction of fractions, the most efficient common denominator is the ___________ common denominator. It is a bbreviated ___________ . (2-6)

A whole number divisible only by itself and 1 is a(n) __________ number. Thefirst five of these numbers are ___________ , __________ , __________ , __________ , and __________ . (2-6)

Like fractions have the same ___________ . (2-7)

When adding unlike fractions, we begin by finding the ___________ c ommon denominator of those fractions. (2-7)

When subtracting like fractions, we subtract the numerators and place the difference over the original ___________ . (2-8)

When subtracting unlike fractions, we ___________ each fraction to the d enominator of the LCD. (2-8)

When multiplying fractions, cancellation is the shortcut process of finding common factors that ___________ evenly into at least one of the numerators and one of the denominators. (2-9)

When dividing fractions, we ___________ the fraction that is the divisor and then ___________ the fractions. (2-10)

Solve the following problems and reduce to lowest terms.2 __ 3 4 1 __ 8

Solve the following problems and reduce to lowest terms. 5 __ 6 3 1 __ 4

Solve the following problems and reduce to lowest terms.2 __ 5 3 5 3 __ 8 3 2

Solve the following problems and reduce to lowest terms.6 5 __ 6 2 17 ___ 18

Solve the following problems and reduce to lowest terms. 4 1 __ 2 1 5 5 __ 6 1 3

Solve the following problems and reduce to lowest terms.25 1 __ 2 4 1 2 __ 3

The Bean Counters, an accounting firm, has 161 employees. If 3 _ 7 of them are certified public accountants, how many CPAs are there?

Ventura Coal mined 6 2 _ 3 tons on Monday, 7 3 _ 4 tons on Tuesday, and 4 1 _ 2 tons on W ednesday. If the goal is to mine 25 tons this week, how many more tons must be mined?

A blueprint of a house has a scale of 1 inch equals 4 1 _ 2 feet. If the living room wall measures 5 1 _ 4 inches on the drawing, what is the actual length of the wall?

If 3 __ 8 of a 60-pound bag of ready-mix concrete is Portland cement, how many pounds of other materials are in the bag?

The total length of an extension cord measures 18 9 __ 16 inches. The plug end measures 2 3 _ 4 inches, and the receptacle end measures 5 3 _ 8 inches. What is the length of the wire portion of the extension cord?

During a spring clearance sale, Sears advertises 1 _ 4 off the list price of Model II microwave ovens and an additional 1 _ 5 off the sale price for ovens that are scratched or dented. a. If the list price of a Model II is $240, what is the sale price? b. What is the price of a scratched one?

You are a sales representative for Boaters Paradise. Last year you sold $490,000 in marine products. a. If this year you expect to sell 1 _ 5 more, how much will your sales be? b. If you are paid a commission of 1 ___ 12 of sales, how much will you earn this year?

A developer owns three lots measuring 1 2 _ 3 acres each, four lots measuring 2 1 _ 2 acres each, and one lot measuring 3 3 _ 8 acres. a. What is the total acreage owned by the developer? b. If each acre is worth $10,000, what is the total value of the properties? c. If the company plans to build 8 homes per acre, how many homes will it build?

`A house has 4,400 square feet. The bedrooms occupy 2 _ 5 of the space, the living and dining rooms occupy 1 _ 4 of the space, the garage represents 1 __ 10 of the space, and the balance is split evenly among three bathrooms and the kitchen. a. How many square feet are in each bath and the kitchen? b. If the owner wants to increase the size of the garage by 1 _ 8 , how many total square feet will the new garage have?

Among other ingredients, a recipe for linguini with red sauce calls for the following: 24 ounces linguini pasta, 6 2 _ 5 tablespoons minced garlic, 5 cups fresh tomatoes, and 10 tablespoons Parmesan cheese. If the recipe serves eight people, recalculate the quantities to serve five people. Pasta: Garlic: Tomatoes: Cheese:

You are an engineer with Ace Foundations, Inc. Your company has been hired to build a 165-foot foundation wall for the construction of a house. You have calculated that the drainage line around the wall will take 1 cubic yard of gravel for every 5 feet of wall. a. If a contractors wheelbarrow has a 1 _ 3 cubic yard capacity, how many wheelbarrow loads of gravel will be needed? b. If your company typically builds this type of a wall at an average rate of 7 1 _ 2 feet per hour, how many hours will it take to build the foundation wall? c. Each load of gravel costs $4. The wall materials cost $13 per foot, and labor costs $62 per hour. If $2,700 profit is to be added to the job, how much is the total charge to build the foundation wall?

You have been given the job of cutting a supply of 2" 3 4" pieces of lumber for a frame house. Each piece is to be 14 1 _ 2 inches long. Each cut is 1 _ 8 inch wide. At Home Depot and Lowes, the choices of stock length are 10 feet, 12 feet, and 14 feet. You have been asked to choose the length of stock that will have the least amount of waste after you cut as many pieces as you can from it. Which length of stock should you choose?