A fraction is a number which represents a part of a whole. Numerator and denominator are the main parts of a fraction. The numerator represents the number of equal parts of a whole, and the denominator represents the total number of parts that make up the said whole.
There is a fine line between numerator and denominator.
For instance, assume a pizza is divided into four equal parts. After eating the first part, there will 3 more parts left to eat out of the total 4. So, we can represent it as ¾.
Addition of Fractions:
For the addition of fraction, we need a common denominator for the operation.
First, multiply all the denominators and ensure that the new denominator is certainly a multiple of each individual denominator.
Now multiply the numerator of each fraction by the same factors as necessary.
Note: The other way is to find the LCM of all the denominators and make a common denominator. Now, multiply the numerators with a corresponding factor with which its denominator is multiplied and then add all the numerators.
Formula for addition of fractions
a
b
+
c
d
=
a
b
×
d
d
+
c
d
×
b
b
=
ad + bc
bd
For example:
3
2
+
1
4
=
3
4
×
2
4
+
1
4
×
2
2
=
12 + 2
8
=
14
8
=
7
4
Subtraction of Fractions:
Subtraction of fractions follows a similar process to that of addition. We require a common denominator for the operation to occur.
Formula for Subtraction of Fractions
a
b

c
d
=
a
b
×
d
d

c
d
×
b
b
=
ad  bc
bd
For example:
3
2

1
4
=
3
4
×
2
4

1
4
×
2
2
=
12  2
8
=
10
8
=
5
4
Multiplication of Fractions:
For multiplication of fractions, it is not necessary to calculate a common denominator.
To get the result, we have to multiply the numerators and denominators of each fraction, and the result forms a new numerator and denominator.
Formula for Multiplication of Fractions
a
b
×
c
d
=
ab
cd
For example:
3
2
×
1
4
=
3
8
Division of Fractions:
The same process which is used for multiplication is used for division also. Here, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator.
Formula for division of fractions
a
b
÷
c
d
=
ad
bc
For example:
3
2
÷
1
4
=
12
2
=
6
1
Mixed Fractions:
A mixed fraction is a whole number with a fractional part.
Steps to convert a mixed number to an improper fraction:
Multiply the denominator with the whole number.
Add the answer from the previous step to the numerator of the mixed fraction.
Write the answer from the previous step in the numerator and keep the denominator same.
For example, 3½ is a mixed fraction. This can be written as
( ( 2×3 ) + 1 )
2
=
( 6 + 1 )
2
=
7
2
The advantage of growing with siblings is that you become very good at fractions. – Robert Brault
How to use CalculatorHut’s Fraction calculator?
You can use our fraction calculator for adding, subtracting, multiplying and dividing fractions. Answers are provided as simplified fractions in their lowest terms and also a number form.
Just enter the numerator and denominator values of the fraction and select the operation that you want to perform. You will get the result in both fraction form as well as in a number form.
Our Fraction calculator is simple to use. If you wish to get this a widget on your blog or website, contact us at [email protected] We would design an attractive and colorful widget as per your taste for FREE!!