Step-by-step explanation:

FRACTIONS and DECIMALS- We have already studied about fractions and decimals. This chapter deals with the concept of multiplication and DIVISION of fractions as well as of decimals.

A proper fraction is a fraction that represents a part of a whole.

An improper fraction is a combination of a whole and a proper fraction.

The first half of the chapter deals with the Multiplication of Fractions and the later part deals with the concept of Division of Fractions. Two fractions are multiplied by MULTIPLYING their numerators and denominators separately.

Multiplication of fractions is sub-divided into the following topics:

Multiplication of a fraction by a whole number

Multiplication of a fraction by a fraction

Before moving ONTO decimal numbers, the division of fractions is explained. This particular topic contains the following divisions:

Division of whole number by a fraction

Division of a fraction by a whole number

Division of a fraction by another fraction

The same operations are given for decimal numbers.

Multiplication of decimal numbers

Multiplication of decimal numbers by 10, 100, and 1000

Reciprocal of a fraction can be studied in this chapter wherein two non-zero numbers whose product with each other is 1 are called reciprocals of each other.

Division of decimal numbers

Division of decimal numbers by 10, 100, and 1000

Division of a decimal number by a whole number

Division of a decimal number by another decimal number