Fractions (Dividing... Maybe?)The question... (With mixed fractions) 3 3 4 &gt; 1 19 21 How many times 3 3 4 is bigger than 1 19 21 I assume you divide the first fraction by the second but I cant seem to do it, could someone maybe answer the question in steps so I can see what you did therefore understand this a bit better? That would be greatly appreciated, thanks!I know this is stupid, I've been revising for 6 hours straight. It's difficult to get my head around this when I'm already terrible at multiplying and dividing fractions.

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Fractions (Dividing... Maybe?)The question... (With mixed fractions)  3      3    4    &amp;gt;  1      19    21  How many times   3      3    4   is bigger than   1      19    21  I assume you divide the first fraction by the second but I cant seem to do it, could someone maybe answer the question in steps so I can see what you did therefore understand this a bit better? That would be greatly appreciated, thanks!I know this is stupid, I&#039;ve been revising for 6 hours straight. It&#039;s difficult to get my head around this when I&#039;m already terrible at multiplying and dividing fractions.

benedictazk · Accepted Answer

You deduced (correctly, I might add) that the quantity you are looking for is            3              3        4                    1              19        21              .The first step is to combine the whole numbers with their fraction:  3      3    4    =  3  +      3    4    =      12    4    +      3    4    =      15    4    ,  1      19    21    =  1  +      19    21    =      21    21    +      19    21    =      40    21    .The problem becomes finding            15      4              40      21        .Next, we realize that dividing by a number is the same as multiplying by it reciprocal:            15      4              40      21        =      15    4    ×      21    40    .Now do normal fraction multiplication to finish the calculation.

varitero5w · Accepted Answer

A rule to memorize and know by rote is that the fraction       a    b   divided by the fraction       c    d   is the same answer as the       a    b   times the reciprical of the fraction       d    c  So       a    b    ÷      c    d    =            a      b              c      d        =      a    b    ×      d    c    =            a      d              b      c        .The hard part is understanding or explaining why.It can make sense it you think of it as dividing into c/d number of pieces but it can get confusing. The best way to convince yourself is by this &quot;trick&quot;.      a    b    ÷      c    d    =            a      b              c      d        =            a      b              c      d        ×            d      c              d      c        =                    a        b            ×              d        c                            c        d            ×              d        c              =                    a        b            ×              d        c              1    =      a    b    ×      d    c

Fractions (Dividing... Maybe?) The question... (With mixed fractions) 3 3 4

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