Write each fraction as a percent.211\frac{2}{11}

Ch. R - Review of Basic Concepts

Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook

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Lial 13th Edition

Ch. R - Review of Basic Concepts

Problem 185

Chapter 1, Problem 185

Write each fraction as a percent.
$2 over 11$

Verified step by step guidance

Understand that to convert a fraction to a percent, you first convert the fraction to a decimal by dividing the numerator by the denominator.

Divide 2 by 11 to get the decimal equivalent:

\frac{2}{11} = ?

(do not calculate the exact decimal here, just set up the division).

Once you have the decimal form, multiply it by 100 to convert it to a percent:

\(\text{Decimal}\) \(\times\) 100 = \(\text{Percent}\)

Add the percent symbol (%) to the result to indicate that it is a percentage.

Summarize the process: fraction → decimal (by division) → multiply by 100 → add % symbol.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Fraction to Decimal Conversion

Converting a fraction to a decimal involves dividing the numerator by the denominator. For example, to convert 2/11, divide 2 by 11 to get a decimal value, which is the first step toward expressing the fraction as a percent.

Decimal to Percent Conversion

To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%). This shifts the decimal point two places to the right, turning the decimal into a percentage value.

Understanding Percent

A percent represents a part out of 100. It is a way to express ratios or fractions in terms of hundredths, making it easier to compare and understand proportions in everyday contexts.

Write each fraction as a percent.211\(\frac{2}{11}\)