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Fraction Notes

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Fraction Vocabulary Fraction - a number that stands for part of something. Denominator – the number on the bottom of a fraction; it tells how many equal parts are in the whole. Numerator – the number on the top of a fraction; tells how many of the parts you are talking about

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**Fractions that name the same number or amount.**

Equivalent Fractions Fractions that name the same number or amount. 3 = 6 To find equivalent fractions, you can multiply or divide the numerator & the denominator by the same number.

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Simplest Form A fraction that has 1 as the greatest common factor of the numerator and denominator. The numerator and denominator are as low as they can go. To simplify 12 you THINK: 18 What are the factors of 12 & 18? 12 – 1, 2, 3, 4, 6, = 1, 2, 3, 6, 9,18 What is the GCF? 6 3. Divide the numerator and denominator by the GCF. 12 ÷ 6 = 2 18 ÷ 6 = 3 SO the simplest form is 2 3

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**Improper Fraction Mixed Number**

Fraction in which the numerator is bigger than the denominator. You must DIVIDE to make it into a mixed number. EX: 25 4 Mixed Number A number that includes a whole number and a fraction beside it. Ex: 2 3/5

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**To convert from an improper to a mixed number:**

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**To convert from a mixed number to an improper fraction:**

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**Comparing Fractions Fractions with like denominators:**

Just compare the numerators. Ex: 7 is greater than 5 so that fraction is bigger

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**Comparing Fractions with Unlike Denominators**

Step 1: Find the least common multiple (LCM) of the denominators. EX: denominators - 2 and 3 2 – 2, 4, 6, 8, 10 ,12 3 – 3, 6, 9, 12, 15, 18 So – the LCM is 6.

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**Step 2: Use the LCM as the new denominator for both fractions**

Step 2: Use the LCM as the new denominator for both fractions. Step 3: Find the numerators of the new fractions. Step 4: Compare the new numerators.

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Ordering Fractions If they do have the same denominator already, you just put them in order according to the numerators. If they do not have the same denominator – you have to use the LCM to make new equivalent fractions with the same denominator, then put them in order.

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