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ADDING AND SUBTRACTING FRACTIONS WITH LIKE DENOMINATORS
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WHAT THE HECK IS A NUMERATOR AND DENOMINATOR? Fractions are made of two parts; the numerator and denominator. The numerator is the number on top of the fraction. The denominator is the number on the bottom of the fraction.
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HOW DO I ADD FRACTIONS WITH THE SAME DENOMINATOR? To add or subtract fractions the denominators, or bottom numbers, must be the same.
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THEN… You simply add the numerators, or top numbers, and keep the denominators the same.
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PRACTICE IN YOUR COPY BOOK 1. 2. 3.
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NOW PUT INTO SIMPLEST OR REDUCED FORM Simplest or reduced form means that a number is reduced
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LET’S PRACTICE! We’re going to add: 3/6 + 1/6 Are the denominators the same? Add the numerators, keep the denominator. You should have gotten 4/6 Do you think we can reduce 4/6? Yes!
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NOW LET’S REDUCE! First, we have to factor our numerator and denominator. 4: the factors of 4 are…1,2,4 6: the factors of 6 are…1,2,3,6 Which number in the two list is the Greatest Common Factor (GFC) 2
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FINISH REDUCING Now that we’ve figured out the GFC, divide the numerator and denominator by the GFC 4 2= 2 6 2 = 3 Our reduced fraction is now 2/3
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MIXED NUMBERS AND IMPROPER FRACTIONS Sometimes when we add fractions we get an improper fraction as our sum:
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HOW TO TURN AN IMPROPER FRACTION INTO A MIXED NUMBER…IT’S SO EASY! 23/3 is an improper fraction To make it a mixed number you simply have to divide the numerator, top number, by the denominator, bottom number. 23 3= 7 R 2 7 is your whole number, 2 becomes your numerator and 3 stays are your denominator.
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NOW YOU TRY! Turn each improper fraction into a mixed number 1.15/2 2.22/7 3.9/2 Answers… 1.7 ½ 2.3 1/7 3.4 ½
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