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)`
|
