**Important Concepts and Formulas**

2. In a proper fraction, the numerator
is less than the denominator.

3. In an improper fraction, the
numerator is greater than or equal to the denominator.

5. An improper fraction can be converted
into a mixed fraction, which is written as a combination of a whole number and
a proper fraction.

7. Equivalent fractions of a given
fraction can be obtained by multiplying both the numerator and the denominator
by the same number.

8. A fraction is said to be in its
simplest form (or in lowest terms), if its numerator and the denominator have
no common factor other than 1.

9. Among two fractions with the same
denominator, the fraction with the greater numerator is the greater of the two.

10. Among two fractions with the same
numerator, the fraction with the smaller denominator is the greater of the two.

11. We can find the sum and difference of
unlike fractions by changing the fractions to their equivalent fractions having
the same denominator.