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Published byMyra Fields Modified over 9 years ago
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Dividing Fractions Using Pictures!
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Let’s start with something easy…
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Step 1: Draw a picture of the first number 1 2
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Now split your picture into 1/3 pieces…
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Now just count the pieces! 1 23 4 5 6 This means there are SIX 1/3 pieces in 2 wholes!
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Let’s Try Dividing a fraction by a fraction! First, you have to start with ½ of one whole… ½ 1/2
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Now we divide our whole into fourths How many ¼ are in ½ of our whole? 2!!!
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What about mixed numbers… Let’s try Start by drawing 1 ¾ (1 whole= 4/4)(3/4)
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Now let’s divide our picture into eighths (1 whole= 8/8)(3/4= 6/8)
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Now let’s see how many groups of 3/8 we can get from the shaded part (1 ¾) So we got 4 full groups of 3 and 2 out of the 3 we needed left over…
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But what if the first denominator is larger? Let’s try Go ahead and draw the first fraction…
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Since we can’t split our 9ths into 3rds, we will make our second fraction have a common denominator of 9.
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Now let’s see how many sets of 3/9 we can get out of our shaded area (5/9) We have one full set of 3 and 2/3 of another set…
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Now you try! Did you start out with this?
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Did you divide into ¼ pieces?
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NOW COUNT!!! 1 2 3 4 5 6 7 8 9 10 11 12
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Now you try! Draw Did you start out with this?
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Did you divide into 8ths?
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Did you find how many groups of 3 you could make? 2!
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Let’s try another… Draw
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Did your picture turn out like mine? 1 2 3 4 5 6 2/3 Our answer=
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