Introduction of Decimal and Fraction

Introduction of Decimal and Fraction:

            Decimal is also termed as the fraction whose denominator of the fraction is 10 to the power. Example: `(3)/(10)` = 0.3 decimal. Fraction: It is part of the entire object. We can make chart from decimal to the fraction by following certain procedure. In this article, we see how to make decimal to fraction chart.

Decimal to Fraction Chart:

Procedure - Decimal to Fraction Chart:

Step 1: check the how many digit present after the decimal point.

Step 2: Multiply the 10 to power depending up on the digit present after the decimal point.

Step 3: Now we get the fraction, and simplify as much as possible.

Now decimal get convert to the fraction.

Writing decimal numbers:

We know the place value of the decimal numbers the following diagram shows the place value of the decimal numbers.

Example Problem - Decimal to Fraction Chart:

Example 1:

Make the decimal to fraction chart of the following decimal.

a)     1.35

b)    0.78

c)     2.8

Solution:

a) Converting the decimal 1.35 to fraction

Solution:

Step 1: Check the digit after the decimal point. Here there are two digits.

Step 2: Hence make the decimal as the whole and it divided by the 10 to the power of 2.

`(135)/(100)`

Step 3: Simplify the fraction `(135)/(100)`

1.35 = `(27)/(20)`

b) Converting the decimal 0.78 to fraction.

Solution:

Step 1: Check the digit after the decimal point. Here there are two digits.

Step 2: Hence make the decimal as the whole and divided it by the 10 to the power of 2.

`(78)/(100)`

Step 3: Simplify the fraction`(78)/(100)`,  we get

0.78 = `(39)/(50)`

c) Converting the decimal 2.8 to fraction.

Solution:

Step 1: Check the digit after the decimal point. Here there is one digit.

Step 2: Hence make the decimals as the whole and divided it by the 10 to the power of 1.

`(28)/(10)`

Step 3: Simplify the fraction `(28)/(10)`,  we get

`(7)/(25)`

Make the chart:

Decimal	Fraction
1.35	`(27)/(20)`
0.78	`(39)/(50)`
2.8	`(7)/(25)`

Example 2:

Make the chart of the following decimal to fraction.

0.45, 0.6, 0.75, 0.125

Solution:

Decimal	Fraction
0.45	`(45)/(100)`
0.6	`(6)/(10)`
0.75	`(75)/(100)`
0.125	`(125)/(1000)`