How do you divide $1 2/3$ by $2 3/4$ ?

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Answer 1 · 2016-12-07T04:09:15

$20/33$

First, we need to convert each mixed fraction to an improper fraction

$1 2/3 = (3/3 xx 1) + 2/3 -> 3/3 + 2/3 -> 5/3$

$2 3/4 -> (4/4 xx 2) + 3/4 -> 8/4 + 3/4 -> 11/4$

Now we can write the division problem as

$(5/3)/(11/4)$

The rule for dividing fractions is:

$color(red)((a/b)/(c/d) = (a*d)/(b*c))$

We can use this rule to divide and solve our problem:

$(5*4)/(3*11)$

$20/33$

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