# CLASS-4FRACTION-SUBTRACTION OF MIX-FRACTION

SUBTRACTION OF MIX-FRACTION -

2             1

Example.1)  7 ------- - 5 -------

5             5

Ans.)                  2              1

7 -------- - 5 -------

5              5

STEP.1)  Convert From Mix Fraction to Improper Fractions.

(7 X 5) + 2       (5 X 5) + 1

=  ------------- - -------------

5                   5

37          26

=  ------- - -------

5           5

STEP.2) Subtract only the numerators, not the denominatorsWhen we add or subtract fractions with same denominator, we just add or subtract the numerators and keep the denominator same.

(37 - 26)

=  -----------

5

STEP.3) Reduce to lowest term if possible

11

=  --------

5

STEP.4) Convert the improper fraction to mixed number as the denominator is smaller than the numerator.

πΉππππππππ

πΈπππππππ = ---------------

π«ππππππ

1

=  2 ------       (Ans.)

5

5             1

Example.2)  7 ------- - 2 ------- (Fraction with diferent Denominator)

6             5

Ans.)

5              1

7 ------- - 2 -------

6              5

STEP.1)  Convert From Mix Fraction to Improper Fractions.

(7 X 6) + 5        (2 X 5) + 1

=  ------------- - -------------

6                   5

47          11

=  ------- - -------

6           5

STEP.2) Now we will find LCM of two denominator of given fraction, where  given denominators are not the same. so, the LCM of 5 & 6 is 30.

(47 X 5) - (6 X 11)        (235 - 66)

=  ------------------- = -------------

30                      30

STEP.3) Reduce to lowest term if possible.

169

=  --------

30

STEP.4) Convert the improper fraction to mixed number as the denominator is smaller than the numerator.

πΉππππππππ

πΈπππππππ = ---------------

π«ππππππ

19

=  5 ------       (Ans.)

30

1            3

Example.3)   2------- - ------- (Fraction with different Denominator)

12           4

Ans.)

1           3

2 ------- - -------

12           4

STEP.1)  Convert From Mix Fraction to Improper Fractions, and another is proper fraction which is not need to be changed.

(2 X 12) + 1           3

=  --------------- - -------

12                4

25          3

=  ------- - ------

12         4

STEP.2) Find LCM of following denominators of obtained unlike fraction. LCM of two given denominator 12 & 4 is 12.

STEP.3) Change both the fractions to equivalent fractions with common denominators.

25          25 X 1         25

------- = ---------- = -------

12          12 X 1         12

3          3 X 3           9

and, ------ = ---------- = -------

4          4 X 3          12

STEP.4) Subtract the equivalent fraction.

25           9

-------- - -------

12          12

STEP.5) Subtract only the numerators, not the denominators.

(25 - 9)           16

= ------------ = -------

12              12

STEP.6) Reduce to lowest term if possible.

16 Γ· 4            4

= ----------- = -------

12 Γ· 4            3

STEP.7) Convert the improper fraction to mixed number as the denominator is smaller than the numerator.

πΉππππππππ

πΈπππππππ = ---------------

π«ππππππ

1

= 1 -------   (Ans.)

3