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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.

### Borrowing, Gross Wages, Net Weekly Income, Loans

Explain your answers and/or show intermediate steps. You and a friend go to The Gelato Fiasco and order two items: one costs \$4.50 and the other \$3.75. What would be a 15% tip for the combined total? If you are paid \$12.00 per hour and work 40 hours per week, what is your weekly gross wages? If 6.2% is deducted for FIC

### Calculate the Wind Chill given the inputs of Temp and Wind Speed

In this problem, you will calculate the Wind Chill given the inputs of Temperature and Wind Speed. You will also provide the results as line and column charts. 1) Start Excel. Download and open the workbook named: Chapter_1-7_Wind_Chill_Start 2) In cell C10, use the appropriate formula to calculate the Wind Chill. 3) In ce

### Male and Female Workers

Calculate the ratio of Male to Female workers in the US. Provide the results as a line and a stacked column charts. Use a cell reference or a single formula where appropriate. Steps to Perform: 1) Start Excel. Download and open the workbook named: Chapter_2-9_MF_workforce_Start 2) In cell F7, calculate the total employment

### Culinary Mathematics

1. First Sheet to fill out is the Lemon Bar Sheet. Remember to break the recipe down to ounces before calculating cost. 2. Second Sheet to fill out is the Caramel Candy Sheet. Remember to break the recipe down to ounces before calculating cost. 3. Third Sheet to fill out is the Produce Price List. I have given you the bulk

### 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

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### Vehicular CRF in Intersections

After 17 vehicular accidents two years ago in a given intersection, the mayor of Boulder proposed to reduce the number of crashes by making improvements at the intersection. Assuming the appropriate CRF is 0.53, what will be the reduction in number of crashes at that intersection achieved by the mayor?

### 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

### The solution gives detailed steps on computing percent markdown using the case of Bestbuy and deep discussion on pros and cons to the practice of markdowns/markups .

Consider the concepts markup and markdown. Now apply your knowledge of these models to a practical problem. Please respond to all of the following prompts in the discussion: 1. Go to http://www.bestbuy.com. Find a product with a rebate, or instant savings. The weekly ad is a good way to find products with rebates. Use the

### The solution gives detailed steps on computing the monthly finance charge for the credit card transaction using 3 methods. All formula and calcuations are shown and explained.

Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded, and that the month is 30 days long. (Round your answers to the nearest cent.) \$500 balance, 16%, \$50 payment (a) previous balance method \$ (b) adjusted balance method \$ (c) ave

### The solution gives detailed steps on computing the difference in annual inflation rates. All formula and calcuations are shown and explained.

Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

### 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

### 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

### 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 selections 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 (

### Tennis matches

A tennis club has 40 members. One afternoon, they get together to play singles matches (one-on-one competitions). Every member of the club plays one match with another member of the club, so twenty matches are held. How many ways can this be arranged? The next afternoon, the club members decide to play doubles matches (tea

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

### Find the US Nest Growth rate due to births and deaths

Given the date below find the US Net Growth rate due to births and deaths (i.e neglect) in 1985, 1995, and 2007 Birth Rate (per 1000) Death rate per 1000 1985 1995 2007 1985 1995 2007 15.7 15.1 14.2 8.7 8.8 8.3

### 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

### Adding Mixed Fractions and Absolute Values

I need help understanding the following 3 problems. Please write this out for me. I don't know what this represents 3^. Absolute value of 1/y + 3/8 (outside the two long lines to either) +1 = 7. Do you get rid of the "1" before determining the negative/positive outcome? Next one: x/3 +4 = 1/12 (do I put the 4 over 1?) to