What do you know about the relationship between fractions, decimals, and percents?

What do you know about the What do you know about the relationship between relationship between

fractions, decimals, and fractions, decimals, and percents?percents?

22

ObjectiveObjectiveExplainExplain the numerical the numerical

relationships between relationships between percents, decimals, and percents, decimals, and fractions.fractions.

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With your table discuss everything you know about …

– FractionsFractions– DecimalsDecimals– PercentsPercents

Converting Converting FractionsFractions

To Decimal …To Decimal …1. Divide the

numerator by the denominator.

2. Show your answer as a decimal.

To Percents …To Percents …1. Convert the fraction

into a decimal.

2. Multiply the decimal by 100 or move the decimal over two places to the right.

3. Add percentage sign.

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Converting Converting DecimalsDecimals

To Fractions …To Fractions …1. Say the number

aloud and write as a fraction.1. 2/10 = Two tenths2. Two tenths = 0.2

2. Reduce to simplest form.

To Percents …To Percents …1. Multiply the

decimal by 100 or move the decimal over two places to the right.1. Multiply by 100

2. Add percentage sign.

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Converting Converting PercentsPercents

To Fractions …To Fractions …1. Write the percent

as the numerator and use 100 for the denominator.

2. Reduce to simplest form.

To Decimals …To Decimals …1. Divide the decimal

by 100 or move the decimal over two places to the left.

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77

What fraction of What fraction of the figure is the figure is shaded?shaded?

What decimal What decimal represents the represents the shaded portion?shaded portion?

What percent What percent represents the represents the shaded portion?shaded portion?

88

What fraction of What fraction of the figure is the figure is shaded?shaded?

What decimal What decimal represents the represents the shaded portion?shaded portion?

What percent What percent represents the represents the shaded portion?shaded portion?

99

Michael Beasley shot 25 times and made Michael Beasley shot 25 times and made 23 shots.23 shots.

How could you represent his made baskets How could you represent his made baskets as a as a fractionfraction, , decimaldecimal, and , and percentpercent??

1010

Given the fraction 5/8, what is the decimal equivalent, and what is the percent equivalent?

0.62562.5%

1111

Given the percent 75%, how would you convert it to a fraction and to a decimal?

¾0.75

1212

Given the decimal 0.40, what is the percent and fraction equivalents?

40%2/5

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Given the fraction 6/15, what is the decimal equivalent and what is the percent equivalent?

0.4040%

1414

Given the percent 60%, how would you convert it to a fraction and to a decimal?

3/50.6

1515

Given the decimal 0.8, what is the percent and fraction equivalents?

80%4/5

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FDP BasketballFDP Basketball OneOne lucky contestant will win the lucky contestant will win the

chance to shoot eight shots chance to shoot eight shots today.today.

As aAs a class we will determine how class we will determine how to express the number of shots to express the number of shots made as a fraction, decimal, and made as a fraction, decimal, and percent.percent.

1717

TheThe Chiefs won two games and lost Chiefs won two games and lost fourteen games last season.fourteen games last season.

HowHow could you represent their record as a could you represent their record as a fractionfraction, , decimaldecimal, and , and percentpercent??

1818

1919

2020

2121

CSM WorkoutsCSM Workouts– http://www.commonsensemath.com/http://www.commonsensemath.com/

school/lessonsoverview/lessons.php?school/lessonsoverview/lessons.php?id=95id=95

– http://www.commonsensemath.com/http://www.commonsensemath.com/school/lessonsoverview/lessons.php?school/lessonsoverview/lessons.php?id=20id=20

2222

Practice ActivitiesPractice Activities– Percent GoodiesPercent Goodies– Matching GameMatching Game

2323

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ObjectiveObjectiveExplainExplain the numerical the numerical

relationships between relationships between percents, decimals, and percents, decimals, and fractions.fractions.