# Percents, fractions, and decimals

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##### Intros
###### Lessons
1. How to convert between fractions and decimals?
• what is a fraction?
• convert fractions to decimals
• convert decimals to fractions
2. How to convert percents, fractions, and decimals?
• percents to fractions to decimals
• decimals to fractions to percents
• fractions to percents to decimals
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##### Examples
###### Lessons
1. Complete the table below.
 Percent Fraction Decimal a) 145% b) 54.8% c) $3\frac{2}{5}$% d) 0.55%
1. Convert 145% into fraction and decimal
2. Convert 54.8% into fraction and decimal
3. Convert $3\frac{2}{5}$% into fraction and decimal
4. Convert 0.55% into fraction and decimal
2. Convert each fraction to a decimal and a percent
1. $\frac{1}{25}$
2. $\frac{61}{200}$
3. $\frac{5}{4}$
3. Convert each decimal to percents and fractions
1. 0.8
2. 0.014
3. 2.32
4. Leo only used 42 minutes to finish a one-hour test. What percentage of the test time did he use to finish the test?
1. A miner acquired 5$\frac{1}{3}$ gram of silver in a 200-gram sample of ore.
1. What percent of the sample is silver to the nearest hundredth of a percent?
2. What is the percent as a repeating decimal and as a fraction in lowest terms?
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###### Topic Notes
In this section, we will learn how to convert between fractions, decimals and percents. After this section, we will be able to convert fractions to decimals and percents; and convert percents to fractions and decimals.