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Rational Numbers Conversion

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Warm-Up Some students were asked to choose methods that make learning subjects more interesting. The results are shown. MethodNumber of Students Internet17 out of 50 Teacher29 out of 100 TV program1 out of 4 Textbook3 out of 25 1.What fraction of the students chose the internet? 2.What fraction of the students chose a TV program? 3.What method do you prefer?

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39 100 39% 0.39 Decimal Fraction Percentage Record this chart in your math journal on page C. Title it “Converting Rational Numbers” and be sure save room for notes.

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Fraction Decimal To write a fraction as a decimal, divide the numerator (number on top) by the denominator (number on bottom.) 1/4 = 0.25 Para escribir una fracción como un decimal, divida el numerador (número de arriba) por el denominador (número en la parte inferior).

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Example Problems Write each fraction or mixed number as a decimal. 2/5

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Example Problems Write each fraction or mixed number as a decimal. 5/9

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Example Problems Write each fraction or mixed number as a decimal. 3 5/8

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Fraction Decimal To write a decimal as a fraction, remove the decimal point and write the number over the place value, then reduce. 0.25 = 25/100 = 1/4 Para escribir un decimal como una fracción, quite el punto decimal y escribir el número sobre el valor posicional, luego reducir.

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Example Problems Write each decimal as a fraction or mixed number in simplest form. 0.22

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Example Problems Write each decimal as a fraction or mixed number in simplest form. 0.1

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Example Problems Write each decimal as a fraction or mixed number in simplest form. 4.6

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Percent Decimal To write a decimal as a percent, multiply by 100 and add the percent symbol. 0.39 = 39% Para escribir un decimal como un porcentaje, multiplicar por 100 y añade el símbolo de porcentaje.

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Example Problems Write each decimal as a percent. 0.89

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Example Problems Write each decimal as a percent..389

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Example Problems Write each decimal as a percent. 15.6

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Percent Decimal To write a percent as a decimal, divide by 100 and remove the percent symbol. 39% = 0.39 Para escribir un por ciento como un decimal, dividir por 100 y quitar el símbolo de porcentaje.

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Example Problems Write each percent as a decimal. 32%

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Example Problems Write each percent as a decimal. 626%

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Example Problems Write each percent as a decimal. 15.8%

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Fraction Percent To write a fraction as a percent, change the fraction to a decimal first, then change the decimal to a percent. 1/4 = 0.25 = 25% Se escribe una fracción como un porcentaje, cambiar la fracción a decimal primero y luego cambiar el sistema decimal a un por ciento.

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Example Problems Write each fraction or mixed number as a percent. 2/5

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Example Problems Write each fraction or mixed number as a percent. 5/9

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Example Problems Write each fraction or mixed number as a percent. 3 5/8

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Fraction Percent To write a percent as a fraction, remove the percent symbol, write the number over the 100, then reduce. 25% = 25/100 = 1/4 Para escribir un porcentaje como una fracción, quitar el símbolo de porcentaje, escriba el número de los 100 y luego reducir.

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Example Problems Write each percent as a fraction. 32%

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Example Problems Write each percent as a fraction. 626%

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Example Problems Write each percent as a fraction. 15.8%

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Up Next… Activity 1: Relating Rational Numbers (Answer questions, then cut out and paste into math journal under “Converting Rational Numbers” next to your notes)

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