LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

ADDITION OF FRACTION

__ADDITION OF FRACTIONAL NUMBER __

**1) 4 / 12 + 5/24 = ?**** **

**Step.1 - first find LCM of ‘Denominators’ 12 & 24.**

** LCM = 6 x 2 x 2 = 24**

**So, LCM of 12 & 24 = 24, **

** Put 24 as ‘Denominator’ at next step. **

**Step.2****
– Divide by 'Denominator' of 1 ^{st} fraction to LCM, after
getting the quotient from this divide, multiply it’s ‘Numerator’ &
obtained quotient. 24 ÷ 12 = 2; 4 X 2 = 8.
So, 8 is the new ‘Numerator’ of 1^{st} fraction.**

**Step.3****
– Divide by 'Denominator' of 2 ^{nd} fraction to LCM, after
getting the quotient from this divide, multiply it’s ‘Numerator’ &
obtained quotient. 24 ÷ 24 = 1 ; 5 X 1 = 5. So, 5
is the new ‘Numerator’ of 2^{nd} fraction**

** Step.4 – Now, add two new
‘Numerators’ obtained from two separate. Fraction. 8 + 5 = 13 is new
‘Numerator’ .**

**
So, the answer is 13/24. (Ans.)**

** 2) 3 / 12 + 2/6
+ 3/18 = ?**

**Step.1**** - first find LCM of ‘Denominators’ 12, 6 & 18. **

**LCM = 3 x 2 x 2 x 1 x
3 = 36**

**So, LCM of 12, 6
& 18 = 36, put 36 as ‘Denominator’ at next step.**

**Step.2****
– Divide by 'Denominator' of 1 ^{st} fraction to LCM, after
getting quotient from this divide, multiply it’s ‘Numerator’ & earlier
obtained quotient. 36 ÷ 12 = 3 ; 3 X 3 = 9. So, 9 is the new ‘Numerator’
of 1^{st} fraction. **

**Step.3****
– Divide by 'Denominator' of 2 ^{nd} fraction to LCM, after
getting the quotient from this divide, multiply it’s ‘Numerator’ &
earlier obtained quotient. 36 ÷ 6 = 6 ; 5 X 6 = 30. So, 30 is the new ‘Numerator’ of 2^{nd} fraction.**

**Step.4****
– Divide by enominator of 3 ^{rd} fraction to LCM, after
getting the quotient from this divide, multiply it’s ‘Numerator’ & earlier
obtained the quotient. 36 ÷ 18 = 2 ; 3 X 2 = 6. So, 6 is the new ‘Numerator’ of 3^{rd}
fraction.**

**Step.5****
– Now, add three new ‘Numerators’ obtained from three
separate Fraction. 9 + 30 + 6 = 45 is the new ‘Numerator’ . **

**So, the answer
is 45/36. (Ans.)**