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

Question

Luna Angel · Accepted Answer

#4 2/3#

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#

Skylar Adams · Answer

#4 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#

Luna Angel · Answer

undefined To change $\frac{14}{3}$ into a mixed number, divide the numerator (14) by the denominator (3). The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. So, $14 \div 3 = 4$ with a remainder of 2. Therefore, $\frac{14}{3}$ as a mixed number is $4 \frac{2}{3}$.

Luna Angel · Answer

undefined To change 14/3 into a mixed number, you divide the numerator (14) by the denominator (3). The quotient is the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part.

14 ÷ 3 = 4 with a remainder of 2.

So, the mixed number is 4 2/3.