how to do mixed numbers

Question

5 2/6

+ 1/3

Answer 1

Hi Kayla, I find the easiest way to add mixed fractions is to start by taking away the whole number and completely work with fractions. To do this you will multiply 5x6 (The whole number multiplied by the denominator, or bottom number, of the fraction it is attached to) to get 30, you then will add 30 to 2 (the numerator, or top number, of the original fraction) to completely change that to 32/6 Your equation should now read 32/6 + 1/3 To complete the equation you now need to make sure the denominators are matching. The easiest denominator to get to in this equation is 6, and you can do this by multiplying both the numerator and denominator of the second have of this equation by 2 (1*2/3*2) to equal 2/6 The equation should now read 32/6 + 2/6 Now you simply add the numerators together, but do not add the denominators... they can be left alone. 32/6 + 2/6 = 34/6 To reduce this further you can create a mixed fraction (whole number with a fraction attached) by dividing 34 by 6 and carrying the remainder over in fraction form to equal 5 4/6 You can further reduce this by dividing the fraction by 2 because both the numerator and denominator are divisable by two. It will then read 5 2/3 for your final answer.

Answer 2

Isolate the whole number and fractions, Therefore the whole Number is 5 and the fractions are 2/6 and 1/3

   add fractions 2/6 + 1/3, the common denominator is 6 . Devide 6 by the denominator of the first fraction and mutiply by its nemerator that is ((6÷6) x 2)/6) = 2/6 , Devide 6 by the denominator of the second fraction and multiply by its numerator that is ((6÷3)x1)/6) = 2/6

Add the resulting two fractions (2/6)+(2/6) = 4/6 simplfy by dividing top and  bottom by 2 you get 2/3. add whole number to fraction 5+(2/3) = 5 2/3 = 5.66.

Another method:

the frst fraction (2/6) can be simplified by dividing top and bottom by 2 to get (1/3)

Add the first fraction 1/3 to the second fraction 1/3 such that 1/3+1/3 = 2/3

Add the result of fraction addition to the whole number and the result would be 5+2/3 = 5 2/3  or 5.66                                              

Answer 3

There are 2 ways to solve this:

1.  The first way is to add the mixed number and fraction:

First, find a common denomimator, which would be 6.  Now change 1/3 into an equivalent fraction by multiplying the numerator and denominator by 2 which gives us 2/6.

We now have 5 2/6 + 2/6 = 5 4/6.

The fraction can be simplified to 2/3 by dividing the numerator and denominator by 2. 

So our answer is 5 2/3.

 

2. The second way is to convert the mixed number to an improper fraction and then add the proper fraction (1/3).

We can convert 5 2/6 into an improper fraction by multiplying the denominator by the whole number and then adding the numerator.

               (6x5) + 2 = 30 + 2 = 32.  So the improper fraction is 32/6.

We now have 32/6 + 1/3.  Using the same method as in #1 above, 1/3 is changed to 2/6 so now our equation is

                 32/6 + 2/6

                 = 34/6.

34/6 = 6/6 + 6/6 + 6/6 + 6/6 +6/6 + 4/6

       = 5 4/6

Again we simplify 4/6 to 2/3, so the answer is 5 2/3.

Answer 4

In order to add these two fractions, they must have the same common denominator. This can found my finding the greatest common multiple of 3 and 6. 5 2/6 + 1/3 32/6 + 1/3 32/6 + 2/6 34/6 5 4/6 5 2/3