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Fractions and Percentages

Fractions and Percentages are just different ways of showing a value that represents a part of a whole. A fraction describes how many parts of a certain size there are. For example, if a pie was cut into 8 equal pieces, then one of those pieces would be referred to as one-eighth or 1/8. Two of those pieces would be referred to as two-eighths or 2/8, which can be further simplified to one-quarter or 1/4. When describing the terminology of fractions, the integer above the line is known as the numerator, while the integer below the line is referred to as a denominator.


So for the fraction 2/8, 2 would be the numerator and 8 would be the denominator. These fractions can also be written without using numerators or denominators, but by converting them into a percentage, which is a number ratio as a fraction of 100. Thus, 2/8 can be written as 25%, while 3/8 can be written as 37.5%.


Both fractions and percentages have practical applications in everyday life, which is why it is considered under Consumer Mathematics. Things such as interest rates are always displayed as percentages in order to make consumer calculations much easier. So a 5% interest rate or 5/100 of $100,000 is much easier to calculate than any other depiction. Thus, understanding the applicability of fractions and percentages in everyday mathematics is a crucial life skill.

Use and Misuse of Percentages

In a minimum of 200 words, post to the Discussion Area your response to the following: Find an example of two of the following types of usage of percentages. Use of percentages as a fraction. Remember that this type will use the word of to imply multiplication. Explain whether this was an effective way to represent this in

Percentages of Complaint Rates

See the attachments. 1. UNITS of BARBIES SOLD since launch Jan 2011 YEAR EUROPE AUSTRALIA NEW ZEALAND CANADA TOTAL WORLDWIDE 2011 115,873 57,146 2058 9435 184,512 2012 26,667 71,958 4056 56,593 159,274 2013 3269 36,050 4188 40,519 84,026 2014 4645 10 2863 892 8410 2015 -16 2 0 -30 -44 NUMBER OF COMPLAINTS RECIV

Compound Interest, Future Value, and Present Value

Compound Interest, Future Value, and Present Value 1. Explain which of the two options below results in a lower balance after 6 months on a debt of $2500. Annual simple interest of 12% applied at the end of the 6 months. A monthly interest rate of 1% applied at the end of each month and before the start of the next month

Verify Math Problems on Percentage Change, Tax or Interest

Determine each number. Round to the nearest tenth if necessary. 1. What number is 25% of 280 70 2. 28 is what percent of 50 76% Determine each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or a decrease. 3. 500 albums to 100 albums -

Operations on Fractions Question

I need step-by-step instructions on how to solve them to ensure that I understand how to solve them correctly. Thanks for your assistance. 1. Express 2 3/5 as a decimal. 2.06 (2 + 3/5 = 2 + 3.000/5) 2. Express 0.32 as a fraction. 8/25 (32/100). 3. Express $112 for 14 hours as a unit rate. 8 (112/14). 4. Eric uses 7 gal

Population Dynamics Simulation

Do the following dynamic simulation problem: 1. The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N. Competition for food causes deaths from starvation at a rate of bN^2 . Simulate the p

Calculate the WACC at different capital structures.

Chandeliers Corp. has no debt but can borrow at 7.9 percent. The firm's WACC is currently 9.7 percent, and the tax rate is 35 percent. a. What is the company's cost of equity? b. If the firm converts to 35 percent debt, what will its cost of equity be? c. If the firm converts to 50 percent debt, what will its cost of eq

Calculate the EPS in the given cases.

Rise Against Corporation is comparing two different capital structures: an all-equity plan (Plan I) and a levered plan (Plan II). Under Plan I, the company would have 195,000 shares of stock outstanding. Under Plan II, there would be 145,000 shares of stock outstanding and $2.10 million in debt outstanding. The interest rate on

Manufacturing and Design Departments

A local party company manufactures New Year's Eve supplies. Specifically, they manufacture three types of noise makers: the siren, the horn and the trumpet. The required design time, manufacturing time and packaging time required for each noise maker and the total amount available to the company are given in the model below. The

Estimating Breakdown of Costs

A fashion student at Bay State College is considering selling home-made jewelry on the side to earn some extra cash. One particular item, that has gotten much praise among her friends, is her Jeweled Necklace. The student believes she can sell each necklace for $30 each. Since she is planning to make multiple of the same necklac

Calculating Cost Variances

Portland Company's Ironton Plant produces precast ingots for industrial use. Carlos Santiago, who was recently appointed general manager of the Ironton Plant, has just been handed the plant's contribution format income statement for October. The statement is shown below: Budgeted Actual Sales (3,000 ingots) $ 250,000

How to Create a Unit of Study with Fractions & Decimals for 3rd Graders

NCTM math standards to include learning goals & objectives, a lesson plan to include differentiation of instruction to address the diverse needs of students and problem solving strategies plus informal and formal assessments that align with objectives in addition to concrete manipulative to help develop fraction sense and al

Monte Carlo Integration & Acceptance Rejection Method

Monte Carlo Integration & Acceptance Rejection Method Problems a. Use the Monte Carlo Method to numerically integrate the following function (run at least 500,000 trials). Show the number of "hits" using a forecast display, calculate the hit/total ratio and finally the numerical value of the integral (see attached for formul

Approximate percentage appreciation or depreciation

I need to determine the approximate percentage appreciation or depreciation of the NASDAQ Composite, Dow Jones Industrial Average, and the S&P 500 for the last 12 months and for year-to-date and provide these figures.

Taxable Yield, Bonds, Rate of Return, and Share Price

See the attached file. Problem 4-24 You purchased 2,500 shares of the New Fund at a price of $20 per share at the beginning of the year. You paid a front-end load of 4%. The securities in which the fund invests increase in value by 11% during the year. The fund's expense ratio is 2.7%. What is your rate of return on the fund

The probability of Pick 3 lottery games

1. In a state's Pick 3 lottery game, you pay $1.22 to select a sequence of three digits, such as 700. If you select the same sequence of three digits that are drawn, you win and collect $434.58. a. How many different selecions are possible? b. What is the probability of winning? (Integer or a decimal) c. If you win, wha

Salary Increase by Percentages

Develop a plan for the distribution of salary increases. Suppose you are employed in a local industry, and your supervisor has assigned you to distribute annual raises that must average 4% per department among 6 team members. No team member can get exactly 4%, and the raise must be at least 2% and no more than 6%. You may est

Probability and Statistical Analysis

1. About 16% of the population of a large country is hopelessly romantic. If two people are randomly selected, What is the probability both are hopelessly romantic? What is the probability one person is hopelessly romantic? Round to Four Decimal 2. Researchers conducted experiment with trees. Listed below are weights (

Analyzing a spreadsheet

Alternate Grade Book: The following figure displays a possible layout of your homework one. Open the partially completed version of this worksheet given to you, and then complete the worksheet as follows: a. The test average is computed by dropping the student's lowest score, then giving equal weight to the three remaining test

Ratios - Finance

Problem 1 Suppose a company has $350,000 in current assets. The company's current ratio is 1.25, and its quick ratio is 0.8. Compute the company's current liabilities and inventories. Problem 2 Compute the price earnings (P/E) ratio given the following. Earnings per share: $1.70 Cash flow per share: $2.50 Price/cash

Conversion factor

1. Describe the three forms in which we can write any conversion factor. Given the conversion in one form, such as 1 lb = 16 oz, how do you find the other two forms? What are the three forms of any conversion factor? Select all that apply. DA. A sum of the two units that is equal to zero. DB. A fraction of the second unit

percents and earnings

I'm having a hard time completing this homework assignment and could use some help and guidance on how to do it: 1. Last season, a pair of jeans cost $44.95. This season, the price of all jeans increased by 15 percent. Later in the season, the jeans were put on sale for 15 percent off. - How much did the jeans cost at the b

Fractions and Percentages

Let's look at some numbers you encounter in your everyday life and use them to do some calculations. 1. Count how many contacts you have in your cell phone. Write down this number. 2. For one week, keep track of the number of these people who called you. 3. Use these two numbers to calculate a) The FRACTION of contac


Exercises 1. Solve the following problems with integers a. 31+(-18) b. (-8)+14+5 c. 7Ã-(-13) d. (-125)÷(-5) 2. Solve the following problems with fractions: a. 3/7 + 2/7 b. 5/8 - 1/4 c. 4/9 + 1/11 c. 1+ 4/7- 3/4 3. Solve the following problems with decimals a. 3.11-4.5 b. 5.27*(-5.81) c. 11.3/2.2 4. Write

Percentage and Sample Size Questions

1.) In a filling line at A & C Foods, Ltd., the mean fill volume for rice bubbles is 325 grams and the standard deviation is 20 grams. What percentage of containers will have less than 295 grams? More than 345grams (assuming no overflow)? 2.) Determine the appropriate sample size needed to estimate the proportion of sorting

Markups and Markdowns

Part I: Markups and Markdowns A manufacturer produces ceiling fans at a cost of $38.25 per fan. During the summer months, it sells the fan in one of its retail outlets at a price of $55.00. However, during the fall and winter season, the manufacturer discounts its fans by 20% off the $55.00 list price. -If you were to orde