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Adding with Unlike Denominators Taking what we already know and using it to help us solve something new! 1/43/8 1/16 Deb Hill: LFES

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Adding Fractions Dont forget to update your Table of Contents On your new page write the following problems if you have not already done so.

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Adding Fractions with Unlike Denominators 1.1/16 + 1/4 = ____ 2.1/8 + 1/4 = ____ 3.1/8 + 1/16 = ____

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You already know the answers Lets think back to…

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QUARTPINTCUPGALLON Remember?

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1 Gallon Here is the way they stack-up.

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1 Quart 1 Pint 1 Gallon 1 Pint 2 cups 1 Pint = 2 cups 1 Quart 2 pints 1 Quart = 2 pints 1 Quart 4 cups 1 Quart = 4 cups 1 Gallon4 quarts 1 Gallon = 4 quarts 1 Gallon8 pints 1 Gallon = 8 pints 1 Gallon16 cups 1 Gallon = 16 cups

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Remember how we built Gallon Man? 1 GALLON

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One Gallon One Gallon = Four Quarts quarts Gallon Man and quarts

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1 Quart 2 Pints 1 Quart = 2 Pints 1 Gallon 4 quarts 428 pints 1 Gallon = 4 quarts = (4) (2) = 8 pints pints Gallon Man and pints

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One Pint Two Cups One Pint = Two Cups 1 Gallon 4 quart 42 8 pints 8 2 16 cups 1 Gallon = 4 quarts = (4) (2) = 8 pints = (8) (2) = 16 cups cups Gallon Man and cups

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quarts gallon How many quarts in a gallon? Right! Four quarts one gallon Four quarts = one gallon! Lets do some more.

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pints How many pints in a quart? Two pints one quart Right again ! Two pints = one quart.

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pints gallon How many pints in a gallon? Eight pints one gallon This is not even hard for you! Eight pints = one gallon.

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cups pint How many cups in a pint? Two cups one pint None of these are difficult. Two cups = one pint

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cups How many cups in a quart? Four cups one quart This is easy! Four cups = one quart

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cups gallon How many cups in a gallon? 16 cups 1 gallon Count all of the extremes. 16 cups = 1 gallon

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Gallon Man can help us some more.

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Gallon pintscups You know the Gallon Man along with all of his parts: quarts, pints, and cups. Let draw another gallon man and label his parts using fractions.

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This turns Gallon Man into…

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gallon One gallon = One whole 1

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gallon 4 quarts one gallon quart1/4gallon One gallon = 1 whole There are 4 quarts in one gallon, so each quart is 1of 4 parts, or 1/4 of a gallon. 1 1/4 1/41/4 1/41/4 1/4 + 1/4 + 1/4 + 1/4 = 4/4 = 1. 1/4 quarters Fraction Friend and quarters 1/4

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8 pints one gallon pint1/8gallon There are 8 pints in one gallon, so each pint is 1of 8 parts, or 1/8 of a gallon. 1/8 1/8 1/8 1/81/8 1/81/8 1/81/8 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 = 1. eights Fraction Friend and eights

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16 cups one gallon cup 1/16 gallon There are 16 cups in one gallon, so each cup is 1of 16 parts, or 1/16 of a gallon. 1/16 1/161/16 1/161/16 1/161/16 1/161/16 1/161/16 1/161/16 1/161/16 1/161/16 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 = 16/16 = 1. sixteenths Fraction Friend and sixteenths

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1/161/4 1/16 + 1/4 = 1/16 1/4 Lets do this one. 1/4 1/161/16 1/161/16 1/4 = 1/16 + 1/16 + 1/16 + 1/16 = 4/16 1/161/4 1/16 Therefore, 1/16 + 1/4 = 1/16 + 4/16 = 5/16 1/16

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1/81/4 You try… 1/8 + 1/4 = Heres another one.

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You got it… 1/41/81/8 1/4 = 1/8 + 1/8 = 2/8 1/8 1/4 1/8 1/8 1/4 Therefore, 1/8 + 1/4 1/8 = 1/8 + 2/8 = 3/8

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And… 1/81/16 1/8 + 1/16 =

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1/81/161/16 Couldnt fool you 1/8 = 1/16 + 1/16 =2/16 1/16 1/8 1/16 1/81/16 Therefore, 1/8 + 1/16 = 2/16 + 1/16 = 3/16 1/16

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Gallon Man pintscups The Gallon Man helps us remember: quarts, pints and cups. quarters eightssixteenths Fraction Friend helps us with: quarters, eights and sixteenths. Now lets see if we can apply what we have learned from Fraction Friend to fractions with other denominations.

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