Class 7 Chapter 2: Fractions

# Class 7 Chapter 2: Fractions

Important Concepts and Formulas

1.      A fraction is a number representing a part of a whole.

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.

4.      A mixed fraction has a whole number part and a fractional part.

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.

6.      Every fraction has many equivalent fractions.

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.

12. To multiply a whole number with a fraction (proper or improper), we multiply the whole number with the numerator of the fraction, keeping the denominator same.

13. When two proper fractions are multiplied, the product is always less than each of the given fractions, whereas the product of two improper fractions is always greater than each of the given fractions.

14. The product of a fraction with its reciprocal is always equal to 1.

15. To divide a whole number or a fraction by another fraction, multiply the dividend by the reciprocal of the divisor.

16. Before dividing a fraction or whole number by a mixed fraction, convert the mixed fraction into an improper fraction and then divide.