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Fraction Review: (First, see what you can fill in on your own. We will go over.) A FRACTION is __________ of a whole! The “top” number is called the ______________, while the bottom number is called the _________________ .
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Fraction Review: (First, see what you can fill in on your own. We will go over.) A FRACTION is __________ of a whole! The “top” number is called the ______________, while the bottom number is called the _________________ . A proper fraction is one where the numerator is smaller than the denominator. ALL proper fractions fall on a number line somewhere between 0 and ________ . Fill in the missing fractions: An improper fraction is one where the numerator is ____________ than the denominator. We can change improper fractions into mixed _________________. A mixed number consists of a combination of a ______________ number and a fraction. Improper Fractions/ Mixed Numbers: Convert the following improper fractions into mixed numbers: Example: 25 = 8⅓ because 25 divided by3 is 8 with a remainder of 1 (keep original 3 fraction’s denominator). Your Turn: 1) 16 = 2) 48 = 3) 76 = 7 5 8 Name:___________________________________________ Date: ___________________What: _Fraction Review_______________________________________________________ Why?:______________________________________________________________________ ? ?
Convert the following mixed numbers into improper fractions: Example: 3 ⅓ = 10because 3 times 3 plus 1 is 10 (keep original fraction’s denominator). 3 Your Turn: 4⅛ = 2) 8⅝ = 3) 7⅘ = Equivalent Fractions: For each of the following fractions, provide one equivalent fraction: Example: 2 = 10 3 15 because both the numerator and denominator were multiplied by the same number (5). Therefore, if you reduced 10/15, it would equal 2/3! They are the same value. Your Turn: 1) _4_ = __ 2) _6 = __ 3) _9_ = __ 7 11 15 Adding and Subtracting Fractions: Remember, if the denominators are different, you need to find a common denominator (Reduce final answers): 1) _3_ + _2_ = 2) _9 + _5_ = 3) _7_ - _9_ = 7 7 14 6 8 12
Multiplying Fractions: • Multiply straight across and REDUCE your final answer! • Example: 15• 2 = 305 • 12 3 36 which reduces to: 6 • Your Turn: • 1) _13_ • _6_ = 2) _9 • _3_ = 3) _7_ • _9_ = • 15 7 14 5 9 11 • Dividing Fractions: • Multiply by the inverse (reciprocal) of the 2nd fraction! Be sure to REDUCE! • Example: 4÷2 = 4 • 3 = 126 • 7 3 7 2 14 which reduces to 7 • Your Turn: • 1) _3_÷ _6_ = 2) _2 ÷ _1_ = 3) _7_ ÷ _4_ = • 13 11 5 3 8 5 • CHALLENGE: • 1) Draw a picture representing the following fraction problem: • 3 + 3 • 8 4 • Multiply: 4 x ½ = _____ If multiplication means to “get bigger,” why is your answer smaller than what you began with? Draw a picture to go with your explanation.