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**Fractions, Decimals, and Percents**

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Fractions A fraction is a number that names part of a whole or part of a set of objects. Numerator _____ Denominator 9

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**Simplifying or Reducing**

On your calculator, type in the fraction then press the “SIMP” button.

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**Mixed Numbers as Improper Fractions**

A mixed number is a number with a whole number part and a fraction part. 6 2/3 An improper fraction is a fraction with a numerator that is greater than the denominator. 9/4

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**How to change a mixed number to an improper fraction.**

4 ¼ First, multiply the denominator by the whole number 4 X 4 = 16 Then, add the numerator = 17 Lastly, use the “17” as the numerator and keep the “4” as the denominator. 17 / 4

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**How to change an improper fraction to a mixed number.**

9 / 4 Take the denominator and divide it into the numerator. 9 divided by 4 = 2 but you have 1 left over. 2 becomes the whole number, 1 will be the numerator, and keep 4 as the denominator. 2 ¼

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Do Now On your white boards, write down 2 proper fractions, write 2 fractions you must simplify, 2 mixed numbers you must change to improper fractions, and 2 improper fractions you must change to mixed numbers. 2/3 and 5/7 2/4 = ½ and 6/10 = 3/5 3 4/5 = 19/5 and 2 2/3 = 8/3 20/7 = 2 6/7 and 13/4 = 3 1/4

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Decimals A decimal is a number that has at least one place to the right of the decimal point.

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**Equivalent Having the same value.**

Fractions and decimals can be equivalent. ¼ = 0.25 ½ = 0.50 ¾ = 0.75 4/4 = 1

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**Converting decimals and fractions**

Type in the fraction or decimal you began with. Then hit the F D key. The calculator will automatically change the fraction ½ to the decimal 0.5 (0.50). *Keep pressing the key until the fraction is in its simplest form.

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Let’s practice! Use your calculator to convert these fractions and decimals. Write the answer on your white board and hold it up. 5/ /12 4 4/

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Repeating Decimals A decimal that has a repeating sequence of numbers after the decimal point. = 4.56 = 32.34

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Do Now On your white boards, write down 5 repeating decimals (the long version and the short version).

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**Percents A percent is the ratio of a number to 100.**

A ratio is a comparison of two numbers using division.

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**Percents When you are given a decimal: 0.65**

move the decimal point 2 places to the right in order to change it to a percent. 0.65 = 65%

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Fractions to Percents If you are given a fraction, simply change the fraction to a decimal and then move the decimal point 2 places to the right. ¾ = = %

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