How do you write (44)/(14) as a mixed fraction?

1 Answer
KillerBunny
Nov 5, 2015

#3 1/7#

Explanation:

A mixed fraction is composed by an integer and a fraction, for example #2 2/3# means #2+2/3#

So, we must find the biggest integer which is still smaller than the fraction, and then express the reminder (which will be smaller than #1#) as another fraction.

In your case, since the multiples of #14# are

#14, 28, 42, 56,...#, we have that #44/14# is more than #3# and less than #4#, so it must be a decimal number starting with #3#. If we subtract that #3#, we'll find the remainder:

#44/14 - 3 = 44/14 - 42/14 = (44-42)/14 = 2/14 = 1/7#

So, the mixed fraction is #3 1/7#

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