Can someone please help me learn how to subtract mixed numbers with and with out borrowing?

Question

5 1/8 - 3 3/4 or 6 3/8 - 5 1/6

Answer 1

5 1/8 Multiply 8 times 5 = 40 add 1 - 41

3 3/4 Multiply4 times 3 = 12 and add 3 = 15/4

5 1/8 - 3 3/4=

41/8 - 15/4 =. . .common denominator is 8. 4 divided into 8 = 2. 2 times 15 = 30 The improper fraction becomes 30/8

41/8 - 30/8 =. . .Subtract 41 from 30 = 11. the improper fraction becomes 11/8

11/8

- - - - - - - - -

6 3/8 - 5 1/6 =

51 /8 - 31/6

153/24 - 124/24

29/24

- - - - - - - - - - - - -s-

Answer 2

Without borrowing - what you can do is change the mixed numbers to improper fractions then do the subtraction. For example, in your first example:-
5 1/8 - 3 3/4 = (41 / 8) - (15 / 4) = (41 / 8) - (30 / 8) = 11 / 8 = 1 3/8

With borrowing:-
5 1/8 = 4 9/8
4 9/8 - 3 3/4 = 4 9/8 - 3 6/8 = 1 3/8

Answer 3

The first thing to do is to change the numbers to an improper fraction in other words, there is no whole number. Lets start with the first number 5 1/8. There are eight eighths in a one and since we have 5, this is forty eighths We also have an extra eighth so,in all, we have forty one eighths or 41/8. If we perform a similar exercise on the other fraction we get 15/4. We now need to make sure that both fractions have a common denominator so if we double the numerator and the denominator of the second equation we get 30/8.

Our problem now looks like this :-

41/8 - 30/8 which gives 11/8 converting back to a normal fraction, we have 1 3/8 (8/8 + 3/8).

Answer 4

1)

5 1/8 - 3 3/4

I'll start by solving this *with* borrowing. Your first step is to have a common denominator. In this case, it will be 8.

5 1/8 - 3 6/8

Notice that we would have to subtract 1 and 6, which we cannot do. Therefore, we have to *borrow* a 1, or 8/8, from the 5. The 5 becomes a 4, and you add 8/8 to 1/8, making it 9/8.

4 9/8 - 3 6/8

Now, subtract the whole parts and subtract the fractional parts.
4 minus 3 is equal to 1, and 9/8 minus 6/8 is equal to 3/8. Therefore, we have

1 3/8

Method 2: Without borrowing:

5 1/8 - 3 3/4

First, convert them into improper fractions.

41/8 - 15/4

Give them a common denominator.

41/8 - 30/8

Now, subtract the numerators.

11/8

Do the same for the next question.

Answer 5

Below is a link that can help answer math questions.........Save it

I will try and make this as easy as I possibly can.
You can't subtract on fractions from another, unless, you make the change of the denominator.
In this case you can subtract 5-3 BUT you can't subtract 1/8 from 3/4 unless you change the bottom number which 1/16 would be a common denominator.
5 1/8...=5 2/16

3 3/4...=3 14/16
I can't subtract 14/16 from 2/16 so I have to make another change BY BORROWING a whole number from the 5 turning it into
.......5 2/16= 4 18/16
.....................-3 14/16
answer..........1 4/16 round it off to 1 1/4
.........OR..........
+5 1/8= 4 9/8
-3 3/4=3 7/8=
answer 1 2/8 or =1 1/4 rounded off
2 ways to figure this
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+6 3/8 = 6 6/16
-5 1/16= 5 1/16
answer 1 5/16 can't round off odd numer
**********************************************
Hope this helps.....Granddaughter is a highschool math teacher

...................SAVE BELOW..........
http://mathforum.org/library/drmath/view/54242.html

http://mathforum.org/library/drmath/view/54242.html

Answer 6

Well you do realize that mix numbers are just fractions. If you convert everything to fraction form and then just subtract fractions, after which point you convert back to mixed numbers.

e.g. 8 1/2 - 5 1/4
= [ ((8x2)+1) / 2 ] - [((5x4)+1) / 4]
= [(16+1) / 2] - [(20+1) / 4]
= 17/2 - 21/4
= 34/4 - 21/4
= 13/4
= 3 1/4

you should be able to work out your question from the example above goodluck.