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Chapter 7: Problem 6

Convert the fraction to a percent. $$\frac{5}{2}$$

Short Answer

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Step by step solution

01

Convert the fraction to a decimal

Divide the numerator (5) by the denominator (2) to convert the fraction \(\frac{5}{2}\) to a decimal. The result is 2.5.
02

Convert the decimal to a percent

Multiply the decimal (2.5) by 100 to convert it to a percentage. The result is 250%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Fraction to Decimal Conversion
To convert a fraction to a decimal, you perform division between the numerator and the denominator.
For example, take the fraction \(\frac{5}{2}\). The numerator is 5 and the denominator is 2.

When you divide 5 by 2, you get 2.5. Hence, the fraction \(\frac{5}{2}\) converts to the decimal 2.5.
This is a simple process and only involves basic division.
Most calculators have this function, or you can perform it manually.
Percentage Calculation
Once you have the decimal, converting it to a percentage is straightforward.
To change a decimal to a percentage, multiply the decimal by 100.
For example, take the decimal 2.5 that we obtained from the fraction \(\frac{5}{2}\).
Perform the calculation: \[2.5 \times 100 = 250\]
So, 2.5 as a percentage is 250%.

Remember, multiplying by 100 simply shifts the decimal point two places to the right.
Numerator and Denominator
Understanding the terms 'numerator' and 'denominator' is crucial for working with fractions.

The 'numerator' is the top part of a fraction and represents the number of parts we have.
In \(\frac{5}{2}\), the numerator is 5.
The 'denominator' is the bottom part and shows the total number of equal parts the whole is divided into.
In \(\frac{5}{2}\), the denominator is 2.

Knowing these terms helps you easily convert fractions to decimals and percentages.

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Most popular questions from this chapter

Find the decimal and fraction equivalents of the percent given in the sentence. For a recent year, the unemployment rate in the United States was \(5.8 \%\)

Find the total amount in an account for an investment subject to the following conditions. Principal $$\$ 9,000$$ Annual Interest Rate $$8 \%$$ Time, Years $$2$$ Compounded Monthly Total Amount __________

Find the total amount in an account for an investment subject to the following conditions. Principal $$\$ 9,000$$ Annual Interest Rate $$4 \%$$ Time, Years $$2 \frac{1}{2}$$ Compounded Quarterly Total Amount __________

The maximum recommended heart rate (in beats per minute) is given by 220 minus a person's age. For acrobic activity, it is recommended that individuals exercise at \(60 \%-85 \%\) of their maximum recommended heart rate. This is called the aerobic range. a. Find the maximum recommended heart rate for a 42 -year-old. b. Find the aerobic range for a 42 -year-old.

Write the fraction in percent notation to the nearest tenth of a percent. $$\frac{6}{7}$$
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