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Chapter 8: Problem 59

Convert to percent notation. \(\frac{22}{25}\)

Short Answer

Expert verified
88%

Step by step solution

01

- Understand the Fraction

The given fraction is \(\frac{22}{25}\). To convert it to a percentage, recognize that 'percent' means 'per hundred'.
02

- Convert Fraction to Decimal

Divide the numerator by the denominator to convert the fraction to a decimal: \(\frac{22}{25} = 0.88\).
03

- Convert Decimal to Percentage

Multiply the obtained decimal by 100 to convert it to a percentage. Thus, \(0.88 \times 100 = 88\text{%}\).
04

- Write Final Answer

The fraction \(\frac{22}{25}\) converts to 88% in percentage notation.

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Key Concepts

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

percent notation
Percent notation is a way to express a number as a fraction of 100. When you hear 'percent', think 'out of 100'. For example, 50% means 50 out of 100, or simply half. This system is helpful for understanding proportions and making comparisons easier. Percentages are widely used in daily life, such as in discounts, interest rates, and statistics. Remember, converting any number to its percentage form involves multiplying by 100 and adding the percent sign (%) at the end.
fraction to decimal conversion
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, to convert \(\frac{22}{25} \) to a decimal, divide 22 by 25. This gives you 0.88. This method works because a fraction essentially represents division. When you perform the division, you get a decimal representation of the same value. This step is crucial in the process of converting fractions to percentages.
percentage calculation
Converting a decimal to a percentage requires multiplying by 100. For instance, after converting \(\frac{22}{25}\) to 0.88, the next step is to multiply 0.88 by 100. This gives us 88. To finalize, append a percentage sign (%) to indicate that it is a percentage. Thus, 0.88 becomes 88%. The process of moving from decimal to percentage emphasizes the meaning of percent 鈥� 'per hundred'. It indicates how many parts we have out of 100, making it a versatile and understandable way to represent data.

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Convert to percent notation. 0.999
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