Those Numbers which can be expressed in form of p/q where q≠0 are know as Fractions.
eg. 3/5, 5/7 etc
Proper Fraction 
If in any fraction numerator of the fraction is less than the denominator of the fraction, then the fraction is known as proper fraction.
eg. 3/7 is a proper fraction

Improper Fraction 
If in any fraction numerator of the fraction is greater than the denominator of the fraction, then the fraction is known as improper fraction.
eg. 7/3 is improper fraction

Mixed Fraction 
Those fraction which consists a whole number and proper fraction are known as mixed fractions.
eg. 3^{1}/_{4}

Decimal Fraction 
Those fractions whose denominators are 10 or its higher power are known as decimals.
eg. 5/10=0.5

Like Fraction 
Fractions having the same denominators are called like fractions.
eg. 2/7, 3/7,5/7 are like fractions

Unlike Fraction 
Fractions having different denominators are called unlike fractions. eg. 2/5, 3/7 etc. 
Compound Fraction  A fraction of fraction is called compound fraction. eg. 1/5 of 3/7 is a compound fraction. 
Complex Fraction 
A complex fraction is that fraction in which the numerator or denominator or both are fractions. eg. (1/2+1/3)/(2/5+3/7) 
Any fraction is said to be in its lowest form, if HCF of numerator & denominator is 1.
If numerator & denominator of a fraction are divided or multiplied by same number, then value of fraction remain unchanged.
How to Compare Fractions:
Example:
Example:
Operations on Fractions
1. Addition of Fractions
Case 1: Same Denominators
If denominators are same, Add the top numbers (the numerators), put the answer over the denominator.
Example:
Case 2: Different Denominators
If the denominator is not same convert them into equivalent fractions of the same denominator by taking LCM of the denominators of the given fractions. Add the top numbers (the numerators), put the answer over the denominator.
Example:
2. Subtraction of Fractions
Case 1: Same Denominators
If denominators are same, Add the top numbers (the numerators), put the answer over the denominator.
Example:
Case 2: Different Denominators
If the denominator is not same convert them into equivalent fractions of the same denominator by taking LCM of the denominators of the given fractions. Subtact the top numbers (the numerators), put the answer over the denominator.
Example:
3. Multiplication of Fractions
Simply multiply the top numbers and multiply the bottom numbers.
Example:
4. Division of Fractions
When you divide by a fraction, the first thing you do is "flipnmultiply". That is, you take the second fraction, flip it upsidedown ("find the reciprocal"), and multiply the first fraction by this flipped fraction.
Example:
NOTE:
Questions Asked from this Chapter: