/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 32 Write each fraction as a percent... [FREE SOLUTION] | 91影视

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Chapter 8: Problem 32

Write each fraction as a percent. $$\frac{5}{6}$$

Short Answer

Expert verified
Answer: The fraction 5/6 is approximately equal to 83.33%.

Step by step solution

01

Divide the numerator by the denominator

Divide 5 by 6 to get the decimal representation of the fraction. $$\frac{5}{6} \approx 0.8333$$
02

Convert the decimal to a percentage

To convert the decimal to a percentage, multiply the decimal by 100 and add a percent symbol (%). $$0.8333 \times 100 = 83.33\%$$
03

Final Answer

Therefore, the fraction \(\frac{5}{6}\) can be expressed as approximately \(83.33\%\).

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Key Concepts

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

Decimal Conversion
To convert a fraction into a decimal, you need to divide the numerator by the denominator. The numerator is the top number of the fraction and the denominator is the bottom number.
For example, when you have the fraction \(\frac{5}{6}\), you divide 5 by 6.
This simple division gives you the decimal 0.8333. By performing this step, you convert the fraction to a decimal, making further calculations easier.
  • Numerator: The number on top of the fraction.
  • Denominator: The number on the bottom of the fraction.
  • Decimal: A number representing a fraction whose denominator is a power of ten.
Percentage Calculation
Once you have the decimal form of a fraction, you convert it to a percentage. This involves multiplying the decimal by 100, which shifts the decimal point two places to the right.
For the decimal 0.8333, multiply it by 100 to get 83.33.
Always remember to follow this with the percent symbol (%) to indicate that you're dealing with a percentage.
  • Multiply the decimal by 100 to convert it to a percentage.
  • Add the percent symbol (%) at the end.
  • This tells you how much of a whole the fraction represents.
Numerator and Denominator
In fractions, the numerator and denominator play key roles. The numerator is the count of equal parts. The denominator tells you how many of those parts make up a whole.
For example, in the fraction \(\frac{5}{6}\), 5 is the numerator and 6 is the denominator.
Understanding these terms helps in performing calculations like converting fractions to decimals or percentages.
  • They form the basis of a fraction.
  • Numerator: Counts parts of the whole.
  • Denominator: Indicates total parts in the whole.
Mathematical Operations
Performing mathematical operations is crucial when converting fractions to percentages.
These operations may include division, which turns a fraction into a decimal, and multiplication, which transforms a decimal into a percentage.
For instance, when you divide the fraction \(\frac{5}{6}\), you perform a division operation. When you multiply the resulting decimal by 100, that鈥檚 another operation.
  • Division is used to find the decimal equivalent of a fraction.
  • Multiplication changes the decimal to a percentage.
  • Ensure operations are performed accurately for correct results.

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