Basic operation of fraction follows some different rules. We commonly use addition, subtraction, multiplication, division of fraction.
Addition of Fraction:
For the fraction addition, we have to follow these step:
- Identify the LCM (Least Common Multiple) of the denominators.
- Divide the LCM with the denominator of a fraction and multiply the quotient with the numerator of that fraction.
- Continue this process and at last do the sum of all multiplied numerators.
Example:
Subtraction of Fraction:
For the fraction subtraction all the process are same just we have to substract one from another.
Example:
Multiplication of Fraction:
For the multiplication we have to multiply the denominators together and write in the denominator place and multiply the numerators together and write it in the numerator place. We can also divide numerator and denominator with same number while doing multiplication.
Example:
Division of Fraction:
For the division of fraction we just have to interchange the place of the numerator and denominator of the divisor and then multiply.
Example:
Equivalent Fractions:
Equivalent fractions refers to those fractions where the denominators or the numerators are different but the value of the fraction are same.
Example:
1/2, 2/4, 4/8 are the equivalent fractions. Here each denominator and numerator are different but the value of these three fraction are same.
Method of Identify the Equivalent Fractions:
- Method 1: Make the denominator same.
- Method 2: Cross Multiply.
- Method 3: Convert to decimal.
Method 1:
- Step 1: Identify the LCM of the denominator
- Step 2: Multiply the numerator and denominator of a fraction with same number to make all the denominators equal to the LCM.
Example:
1/3, 5/15 and 3/9
LCM of 3,15 and 9 is 45
Now, to make all the denominator equal we have to multiply 1/3 with 15; 5/15 with 3; and 3/9 with 5.
After multiplication the fractions are: 15/45, 15/45, 15/45.
∴ These three fractions are equivalent.
Method 2:
Given, two fractions are 1/2 and 3/6
1 x 6 = 6
3 x 2 = 6
∴ These fractions are equivalent.
Method 3:
Given, two fractions are 1/2 and 3/6
Just make this fraction decimal number.
1/2 = 0.5
3/6 = 0.5
∴ These fractions are equivalent.