SUBTRACTION OF MIXED FRACTION -
To subtract mixed fractions (fractions with both a whole number and a fraction), you can follow these steps:
Steps to Add Mixed Fractions:-
1. Convert the Mixed Fractions to Improper Fractions:-
Multiply the whole number by the denominator and add the numerator.
2 (4 × 5) + 2 (20 + 2) 22
Example.1) 4 ------ = ------------- = ---------- = --------
5 5 5 5
2. Find a Common Denominator (if needed):-
If the fractions have different denominators, find the least common multiple (LCM) and adjust the fractions to have this common denominator.
3. Add the Fractions:-
Add the numerators, keeping the common denominator.
4. Convert Back to a Mixed Number (if needed):-
If the result is an improper fraction, convert it back to a mixed number.
1 1
Example:- Subtract 5 ------- & 3 -------
3 4
Ans.)
Step.1) Convert to improper fractions:-
1 (5 x 3) + 1 (15 + 1) 16
5 ------ = -------------- = ----------- = -------
3 3 3 3
1 (3 x 4) + 1 (12 + 1) 13
3 -------- = ------------- = ----------- = -------
4 4 4 4
Step.2) Find a common denominator:-
16 13
---------, --------- [The LCM of 3 and 4 is 12.]
3 4
Adjust the fractions:-
16 (16 x 4) 64
--------- = ------------ = -------
3 (3 x 4) 12
13 (13 x 3) 39
------- = ----------- = -------
4 (4 x 3) 12
Step.3) Subtract the fractions:-
64 39 (64 - 39) 25
-------- - -------- = ------------- = -------
12 12 12 12
Step.4) Convert back to a mixed number:-
25 1
------- = 2 -------
12 12
Final Answer:-
1 1 1
5 ------- - 3 ------- = 2 ------- (Ans.)
3 4 12
Another Way Of Solving the Same Problem:-
1 1
Example:- Subtract 5 ------ & 3 --------
3 4
Ans.) 1 1
5 ------ - 3 -------
3 4
1 1
=> (5 - 3) + (------ - ------) Step.1 Add the Whole number
3 4
L.C.M of denominator 3 & 4 is 12
1 x 4 1 x 3
=> 2 + (------- - -------) Step.2 To subt. convert them in like fraction
3 x 4 4 x 3
4 3
=> 2 + (------ - ------)
12 12
1
=> 2 + ------- Step.3 Add the subtrct. of whole number & like fraction
12
1
=> 2 ------ (Ans.)
12