How do you change #14/3# into a mixed number?

First you need to figure out how many times 3 will go into 14 evenly, with nothing left over.

In this case, #3# will divide into #14# evenly #4# times.

Because #3 xx 4# is 12, we'll subtract #12 " from " 14# to get a value remaining of 2.

Then you put the #2 " over " 3# to get a final value of #4 2/3#.

Or:

#14/3=4.666# We see here that #4# is the only whole number and #0.666...# is left over. Then you just convert that value back to fractions to get your remainder.

#0.666=2/3#

You can read this simply as "fourteen over three", but there is better understanding if you read it as "fourteen thirds".

Counting in thirds would be #1/3, 2/3, 3/3, 4/3, 5/3, 6/3, 7/3...#

We know that one whole can be written as #5/5 or 3/3 or 8/8 =1#

In this case, in #14/3# every group of #3# thirds represents #1#.

The thinking would be to break #14# up into groups of #3#.....

#14/3 =(3+3+3+3+2)/3#

#=3/3+3/3+3/3+3/3+2/3#

#=1+1+1+1+2/3#

#=4 2/3#

The short method is simply to divide the whole number by the denominator to find the whole number.

#14 div 3 = 4# with a remainder of #2# because #14-12=2#

The #2# is a number of thirds, because that is the denominator we are working with.

#14/3 = 4 2/3#