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Fractions

In fractions the denominator represents how many equal parts there are in a whole and the numerator represents the parts of the whole. The fractions with denominators as 10, 100, 1000 etc. are called decimal fractions.

 

Decimal numbers

When a number is expressed in decimal form, it is called a decimal number. In a decimal number, a decimal point separates the whole number from the fractional part of the number.

Example: 2.5 where 2 is the whole number and 5 represents the fractional part of the number.

 

  • Fractions having 10 as denominator are called tenths.
  • Fractions having 100 as denominator are called hundredths.
  • Fractions and decimals are different ways of writing the same number. While fractions are easier to read, decimals are easier to add, subtract, multiply and divide.

Here is a list of common fractions to decimal equivalent that are useful

                                    

 

Understanding decimals

In the figure, the shaded portion can be represented by both fraction and decimal numbers.

How to convert fractions to decimals

 

Using Division

One method for converting fractions to decimals is by using division. In this method, you read the fraction as if it were a division problem. The numerator can be divided by the denominator.

Example:

 can be stated as 1 divided by 2. The answer is 0.5

 

Power of 10 denominator

Another way to convert the fractions to decimals is by using power of 10 denominators. Basically, any fraction with a denominator that is either 10, 100, 1000 etc. can be easily converted into a fraction.

 

Step 1: Make the denominator a power of 10.

Step 2: Count the number of zeroes in the denominator.

Step 3: First write the numerator of the fraction with the decimal point at the end. Now move the decimal point to the left of the numerator by the number of spaces that are equal to the number of zeroes in the denominator.

 

Example:

Consider fraction  .

Step 1: We can multiply both the numerator and denominator by 5 so as to make the denominator a power of 10.

 

 

Step 2: There is 1 zero in the denominator.

 

Step 3: Now take the numerator 5 with the decimal point at the end. Since the denominator has one zero, move the decimal point one position to the left.

Hence, the equivalent decimal number is 0.5

 

 

Converting fractions to decimals worksheet

 

Q1. Convert the following fractions to decimals:

A1.

a) 0.3

b) 3.4

c) 0.25

 

Q2. Convert the following fractions to decimals:

A2.

 

Q3. Shade the squares of 10 x 10 grid to represent the given decimal numbers.

  1. 0.25
  2. 0.5
  3. 0.75

A3.

 

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