Relationship between Fractions and Decimals

Relationship between Fractions and Decimals

To introduce the concept of decimal

Take a rectangle and spit the rectangle into 10 equal parts

How will you represent each part of the above rectangle?

That is 1/10, 1/10 and so on, Shade 1 part of the rectangle.

Here 1 part is shaded out of 10 parts. Fractional representation is 1/10. It can be written in another way as 0.1 In 0.1 0 is called as the whole number part. 1 is called as the decimal part and “ “ is called as the decimal point which separates the unit place from tenth place.

The decimal number 0.1 is read as “ Zero tenth place”.

Able to convert the fraction to decimals and vice versa

To convert a fraction to a decimal, keep the point before the numerator as per the number of zeros in the denominator.

Example 6.19

Convert the following decimals into fractions

i. 3.6

ii. 20.7

iii. 18.9

Solution

i. 3.6 = 36/10

ii. 20.7= 207/10

iii. 18.9 = 189/10