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FRACTION REVIEW

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**FRACTION - a number that shows parts or pieces of a whole**

3 numerator 4 denominator IMPROPER FRACTION - when the number on top is bigger than the number on the bottom. 7 4 MIXED NUMBER - a number that shows wholes and fractions 1 3 4

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Adding Fractions 3 2 + Hmmm… 4 5 Step 1: Find a common denominator

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**+ 3 2 4 5 Adding Fractions Step 1: Find a common denominator**

The LCM of 4 and 5 is 20. 4 5 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator

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**+ 3 2 4 5 Adding Fractions 5 x x 4 Step 1: Find a common denominator**

The LCM of 4 and 5 is 20. 4 5 5 x x 4 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator

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**What you do to the bottom you have to do to the top.**

Adding Fractions 3 2 5 x x 4 What you do to the bottom you have to do to the top. + 4 5 5 x x 4 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator

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**What you do to the bottom you have to do to the top.**

Adding Fractions 15 8 What you do to the bottom you have to do to the top. + 20 20 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Add the numerators. Keep the same denominator.

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**+ 15 8 20 20 Adding Fractions Step 1: Find a common denominator**

= 23 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Add the numerators. Keep the same denominator.

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Adding Fractions 15 8 23 + = 20 20 20 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Add the numerators. Keep the same denominator.

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**Change impropers to mixed #s**

Adding Fractions 15 8 23 + = Change impropers to mixed #s 20 20 20 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Add the numerators. Keep the same denominator. Step 4: Simplify if necessary

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Adding Fractions 15 8 23 1 3 20 can go into 23 1 time. + = = 20 20 20 20 There is a remainder of 3. Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Add the numerators. Keep the same denominator. Step 4: Simplify if necessary

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**Subtracting Fractions is almost like adding.**

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**Subtracting Fractions**

1 1 - 2 6 Hmmm… Step 1: Find a common denominator

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**Subtracting Fractions**

1 1 - The LCM for 2 and 6 is 12 2 6 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator

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**Subtracting Fractions**

6 2 - The LCM for 2 and 6 is 12 12 12 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Subtract the numerators. Keep the same denominator.

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**Subtracting Fractions**

6 2 4 - = 12 12 12 6 - 2 = 4 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Subtract the numerators. Keep the same denominator.

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**Subtracting Fractions**

6 2 4 / 4 1 3 - = = 4 and 12 share a common factor of 4 12 12 12 Step 1: Find a common denominator Step 2: Find equivalent fractions with the common denominator Step 3: Subtract the numerators. Keep the same denominator. Step 4: Simplify if necessary

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**Multiplying Fractions is way easier than adding and subtracting.**

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**Multiplying Fractions**

4 3 Ummm… I don’t know. x = 7 6 YOU DO NOT NEED A COMMON DENOMINATOR

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**Multiplying Fractions**

4 3 Oh good! x = 7 6 YOU DO NOT NEED A COMMON DENOMINATOR

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**Multiplying Fractions**

4 3 Oh good! x = 7 6 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Multiply the numerators.

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**Multiplying Fractions**

4 3 12 4 x 3 = 12 x = 7 6 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Multiply the numerators. Step 2: Multiply the denominators

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**Multiplying Fractions**

4 3 12 7 x 6 = 42 x = 7 6 42 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Multiply the numerators. Step 2: Multiply the denominators Step 3: Simplify if necessary

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**Multiplying Fractions**

4 3 12 6 / 2 7 The GCF for 12 and 42 is 6 x = = 7 6 42 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Multiply the numerators. Step 2: Multiply the denominators Step 3: Simplify if necessary

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**Dividing Fractions is easy if you remember one little thing.**

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**Do I need a common denominator?**

Dividing Fractions Do I need a common denominator? 1 2 / 2 3 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Find the reciprocal of the second fraction

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**/ 1 2 2 3 Dividing Fractions YOU DO NOT NEED A COMMON DENOMINATOR**

FLIP THE SECOND ONE! / 2 3 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Find the reciprocal of the second fraction

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**/ 1 3 2 2 Dividing Fractions YOU DO NOT NEED A COMMON DENOMINATOR**

FLIP THE SECOND ONE! / 2 2 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Find the reciprocal of the second fraction Step 2: Change division to multiplication

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**/ 1 3 / to X 2 2 Dividing Fractions**

YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Find the reciprocal of the second fraction Step 2: Change division to multiplication

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**x 1 3 / to X 2 2 Dividing Fractions**

YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Find the reciprocal of the second fraction Step 2: Change division to multiplication Step 3: Multiply and simplify if necessary

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Dividing Fractions 1 x 3 and 2 x 2 1 3 3 x = 2 2 4 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Find the reciprocal of the second fraction Step 2: Change division to multiplication Step 3: Multiply and simplify if necessary

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Dividing Fractions 1 3 3 x EASY!!! = 2 2 4 YOU DO NOT NEED A COMMON DENOMINATOR Step 1: Find the reciprocal of the second fraction Step 2: Change division to multiplication Step 3: Multiply and simplify if necessary

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Special Situations Adding and subtracting mixed numbers: just add or subtract fractions, then wholes. Subtracting mixed numbers when the first fraction part is smaller than the second: change to improper fractions. Multiplying and dividing mixed numbers and wholes: change to improper fractions

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**Get into partner groups**

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Adding Fractions

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**Subtracting Fractions**

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**Multiplying Fractions**

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Dividing Fractions

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**Multiplying or Dividing mixed numbers**

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