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**2. Estimating Fractions and Mixed Numbers**

Converting Improper Fractions and Mixed Numbers 2. Estimating Fractions and Mixed Numbers

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**When the numerator is bigger than the denominator it is called an improper Fraction.**

For example: or 8 When the fraction is improper, it means that the number is greater than 1 whole. 8 8 = 1 because it represents a total of 8 out of 8. Improper Fractions:

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**How can we convert an improper fraction into a mixed number?**

To convert an improper fraction to a mixed number you have to divide. For example: 6 = = Your example: = 7 14 = 3

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**How can we convert a mixed number to an improper fraction?**

A mixed number is made up of a nonzero whole number and a fraction. For example: 4 1 2 Step 1: Multiply the denominator (2) by the whole number (4). Step 2: then, to the first result (8), you add the numerator (1). Step 3: The number you get is the new numerator and you keep the same denominator. Answer= 9

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**For example: Convert into improper fraction.**

7 1 3 9 3 4 2 5 6

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**Look at the picture. How much does gasoline cost?**

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**Estimating Fractions:**

One way to estimate fractions is to round the fraction to either 0, ½, or 1. If needed then you add or subtract. You can use a number line to help you decide if a fraction is closer to 0, ½, or 1.

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**For Example: To estimate : Look at the denominator and think, “What is**

half of this number?” 2) Then look at the numerator and think, “Is this number closer to 0? Half of the denominator? Or closer to the denominator?” (The closer it is to the number in the denominator the closer it is to 1.) For example = 16 3) You have to think, “Is 3 closer to 0? To half of 16, which is 8? Or closer to 16? ________________________________ For Example:

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Your Example: 2) 6 8 3) 10

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Homework: Convert the following into a mixed number or improper fraction. 8 5 2) 4 3) 11 4) 9 7 Estimate the following fractions to 0, ½, or 1. 3 8 2) 7 3) 1 5 4) 10 Extra Credit: 5)

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