Operations on fractions
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OPERATIONS ON FRACTIONS
Note: Before applying any operations such as addition, subtraction, multiplication, etc., change the given mixed fractions to improper fractions
ADDITION:
Case 1: Adding with the same Denominators.
Example: 7/4 + 6/4
Step 1:
Keep the denominator ‘4’ same.
Step 2:
Add the numerators ‘7’ +’6’ =13.
Step 3:
If the answer is in improper form, Convert it into a mixed fraction, i.e. 13/4 = 3(¼)
So, We have 3(¼) wholes.
Case 2: Adding with the Different Denominators.
Example: 5/3 +2/9
Step 1:
Find the LCM between the denominators, i.e. the LCM of 3 and 9 is 9
Step 2:
Multiply both Denominators and Numerators of both fractions with a number such that they have the LCM as their new Denominator.
Multiply the numerator and Denominator of 5/3 with 3 and 2/9 with 1.
Step 3:
Add the Numerator and keep the Denominators same.
15/ 9 + 2 / 9
= 17/9
Step 4:
If the answer is in Improper form, convert it into Mixed Fraction: 1 (8/9)
EXAMPLE: 2
EXAMPLE: 3
SUBTRACTION:
Case 1: Subtracting with the same Denominators.
Example: 6/4 – 5/4
Step 1:
Keep the denominator ‘4’ same.
Step 2:
Subtract the numerators ‘6’ -’5’ =1.
Step 3:
If the answer is in improper form, Convert it into a mixed fraction. i.e. 1/4
Case 2: Subtracting with the different Denominator
EXAMPLE: 2
MULTIPLICATION:
Example: 2(⅚) × 3 (½)
Solution:
Step 1:
Convert the mixed into an improper fraction. 17/6 × 7/2
Step 2:
Multiply the numerators of both the fractions together and denominators of both the fractions together. {17 × 7} {6 × 2}
Step 3:
You can convert the fraction into the simplest form or Mixed one = 119 / 12 or 9 (11/12)
EXAMPLE:2
DIVISION:
Example: 1(⅚) ÷ 2(½)
Solution:
Step 1:
Convert the mixed into an improper fraction. 11/6 ÷ 5/2
Step 2:
Divide 11/6 by 5/2 {11 /6} ÷{5 /2}
{11/6} × {2 /5}
Multiply the numerators of both the fractions together and denominators of both the fractions together. {11 × 2} /{6 × 5}
Step 3:
You can convert the fraction into the simplest form= 22 / 30
EXAMPLE: 2
Remember :
QUIZ TIME:
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