Fractions

We have learned half, quarter, one-third, etc. They are ‘fractions’. Each indicated ‘part of the whole and are called fractional number.

Equivalent Fractions
Fractions which indicate the same fractional number are said to be equivalent fractions.

Type of Fractions

Unit Fraction: The fractions which have 1 as numerator are called unit fractions.

Decimal Fraction: A fractions whose denominator is 10, 100 or 1000, etc., is called decimal fractions.

Vulgar Fractions: A fraction, whose denominator is a number other than 10,100,100 etc. is called vulgar fractions.

Like and Unlike Fractions
Fractions having same denominators are like fractions
Fractions having different are unlike fractions

Proper Fractions Improper Fractions and Mixed Fractions

1. Fractions whose numerators are less than the denominators are called proper fractions.
2. Fractions whose numerators are greater than or equal to the denominator are called improper fractions.
3. A mixed fraction is a combination of counting number and a proper fraction.

Addition and Subtraction of Fractions

Adding like fractions
Sum of like fractions = Sum of numerators/Common denominator

Subtracting like Fraction
The difference of like fraction= Difference of numerator/ Common denominator

Multiplication and Division of Fractions
To multiply a fraction with another, multiply their numerators together and also their denominators together

Division
To divide a fraction by the other, multiply the first fraction by the reciprocal of the second fraction

Use of ‘OF’
Whenever ‘OF’ appears any two fractions, it is to be worked like multiplication

When all or some of the six operations are applied together on some fractions we apply the rule of ‘BODMAS’

‘B’ stands for ‘BRACKET’
‘O’ stands for ‘OF’
‘D’ stands for ‘DIVISION’
‘M’ stands for ‘MULTIPLICATION’
‘A’ stands for ‘ADDITION’

‘S’ stands for ‘SUBTRACTION’