Welcome pupils and students, here i will teach you how to subtract numbers that involves, borrowing formation.This will guide you about when subtracting fractions, i know there are a lots of student out there battling on how to solves mathematics. Like this one...
2
1 - ------ This involve borrowing, but we have only one number which is 1 hence,
3
3 2 3 - 2 1
---------- - ------- = ------------ = ---------
3 3 3 3
Now we borrowed 1 and replace 3 then minus 2 that gave us 1
Note :
Only 1 should be borrow.
What about something like this:
4
4 - -----------
5
borrow 1 from 4,
5 4 5 - 4
3 + --------- - -------- = 3 + --------------
5 5 5
1
= 3 -----------
5
From the above example, we borrowed 1 from 4 and remain 3 so that 5 will subtract 4.Lets solve some examples.
Solve the following
2
a. 3 - ---------
4
1
b. (5-2 ) ------------
6
1 3
c. 4 - --------- - 2 ------------
3 6
Solution
2
a. 3 - ---------
4
4 2
= 2 + ------------ - -------------
4 4
4 - 2
= 2 + --------------
4
2
= 2 + -----------
4
lets reduce 2 an 4 to the lowest term,
1
= 2 + -------------
2
1
= 2 ----------
2
1
b. (5-2 ) ------------
6
6 1
= 2 + ------------ - -----------
6 6
6 - 1
= 2 + -------------
6
5
= 2 -----------
6
In the above expression, you subtract then borrow.
1 3
c. 4 - --------- - 2 ------------
3 6
1 3
= (4 - 2 ) + ------- - ------------
3 6
1 3
= 2 + --------- - ------------
3 6
( l . c . m of 3 and 6 = 6 )
2 3
2 + ---------- - -----------
6 6
lets borrow 1 from 2
6 + 2 - 3
= 1 + ------------------
6
8 - 3
= 1 + ------------
6
5
= 1 + ---------
6
5
= 1 -----------
6
Make sure any time you have subtraction operation, do not forget to borrow.
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