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Chapter 8: Problem 1

In Exercises 1-10, express each fraction as a percent. \(\frac{2}{5}\)

Short Answer

Expert verified
The fraction \(\frac{2}{5}\) as a percent is \(40\%\).

Step by step solution

01

Remember the Meaning of Percent

To solve this exercise, one needs to understand that a fraction represented as a percent is basically the fraction's equivalent out of 100. Therefore, the problem is essentially to find what \(2\) out of \(5\) equals as out of \(100\). So, it can be represented as: \(\frac{2}{5} = \frac{x}{100}\)
02

Solve for x

To solve for \(x\), cross-multiplication can be used. This involves multiplying the numerator of one fraction with the denominator of the other: \(5*x = 2*100\). Simplifying this equation leads to: \(5*x = 200\). Dividing both sides of the equation by \(5\) gives: \(x = \frac{200}{5}\)
03

Calculate x

Using basic arithmetic calculation, the solution can be computed: \(x = 40\)
04

Express as Percent

Obtaining the result in step 3 implies that \(\frac{2}{5}\) equals \(40\) out of \(100\), which can be written as \(40\%\).

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Most popular questions from this chapter

Suppose that you decide to buy a car for \(\$ 29,635\), including taxes and license fees. You saved \(\$ 9000\) for a down payment and can get a five-year car loan at \(6.62 \%\). Find the monthly payment and the total interest for the loan.

Describe how to determine what you can afford for your monthly mortgage payment.

In Exercises 31-34, round up to the nearest dollar. You would like to have \(\$ 3500\) in four years for a special vacation following college graduation by making deposits at the end of every six months in an annuity that pays \(5 \%\) compounded semiannually. a. How much should you deposit at the end of every six months? b. How much of the \(\$ 3500\) comes from deposits and how much comes from interest?

Suppose your credit card has a balance of \(\$ 3600\) and an annual interest rate of \(16.5 \%\). You decide to pay off the balance over two years. If there are no further purchases charged to the card, a. How much must you pay each month? b. How much total interest will you pay?

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