Conversion of a Decimal Fraction into a Fractional Number
We will discuss here about the working rule for the conversion of a decimal fraction into a fractional number.
The rules of converting decimal number to fraction are:
(i) Write the given number leaving out the decimal point in the numerator.
(ii) Write 1 in the denominator followed by as many zeroes as the decimal places.
(iii) Then write the resulting fraction in the lowest form.
Let us consider some of the following example:
1. Convert 1.5 to fraction.
Given decimal fraction is 1.5.
To convert 1.5 into fractional number first we need to write in the numerator 15 leaving out the decimal point and then write 10 in the denominator since after the decimal point there is one number.
= 15/10
Now simplify 15/10 to its lowest form,
= 15/10 ÷ 5/5
= 3/2
2. Convert 21.72 to fraction.
Given decimal fraction is 21.72.
To convert 21.72 into fractional number first we need to write in the numerator 2172 leaving out the decimal point and then write 100 in the denominator since after the decimal point there is two numbers.
= 2172/100
Now simplify 2172/100 to its lowest form,
= 2172/100 ÷ 4/4
= 543/25
3. Convert 54.972 to fraction.
Given decimal fraction is 54.972.
To convert 54.972 into fractional number first we need to write in the numerator 54972 leaving out the decimal point and then write 1000 in the denominator since after the decimal point there is three numbers.
= 54972/1000
Now simplify 54972/1000 to its lowest form,
= 54972/1000÷ 4/4
= 13743/25
4. Convert 0.000893 to fraction.
Given decimal fraction is 0.000893.
To convert 0.000893 into fractional number first we need to write in the numerator 863 leaving out the decimal point and then write 1000000 in the denominator since after the decimal point there is three numbers.
= 863/1000000
[863/1000000 can’t reduce]
5. Convert 71.002 to fraction.
Given, 71.002
= 71002/1000
= 71002/1000 ÷ 2/2
= 35501/500
6. Convert 811.56 to fraction.
Given, 811.56
= 81156/100
= 81156/100 ÷ 4/4
= 20289/25
7. Convert 754.001 to fraction.
Given, 754.001
= 754001/1000
[754001/1000 can’t reduce]
8. Convert 1426.42 to fraction.
Given, 1426.42
= 142642/100
= 142642/100÷ 2/2
= 71321/50
9. Convert 100.1 to fraction.
Given, 100.1
= 1001/10
[1001/10 can’t reduce]
10. Convert 8364.64to fraction.
Given, 8364.64
= 836464/100
= 836464/100 ÷ 4/4
= 209116/25
● Decimal.
Expanded form of Decimal Fractions.
Changing Unlike to Like Decimal Fractions.
Comparison of Decimal Fractions.
Conversion of a Decimal Fraction into a Fractional Number.
Conversion of Fractions to Decimals Numbers.
Addition of Decimal Fractions.
Problems on Addition of Decimal Fractions
Subtraction of Decimal Fractions.
Problems on Subtraction of Decimal Fractions
Multiplication of a Decimal Numbers.
Multiplication of a Decimal by a Decimal.
Properties of Multiplication of Decimal Numbers.
Problems on Multiplication of Decimal Fractions
Division of a Decimal by a Whole Number.
Division of Decimal Fractions by Multiples.
Division of a Decimal by a Decimal.
Division of a whole number by a Decimal.
Properties of Division of Decimal Numbers
Problems on Division of Decimal Fractions
Conversion of fraction to Decimal Fraction.
5th Grade Math Problems
From Conversion of a Decimal Fraction into a Fractional Number to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Money | Conversion of Money from Rupees to Paisa
Dec 03, 24 01:29 AM
Practice the questions given in the worksheet on money. This sheet provides different types of questions where students need to express the amount of money in short form and long form -
2nd Grade Money Worksheet | Conversion of Money | Word Problems
Dec 03, 24 01:19 AM
In 2nd grade money worksheet we will solve the problems on writing amount in words and figures, conversion of money and word problems on money. 1. Write T for true and F for false. (i) Rs. is written… -
Subtraction of Money | Subtraction with Conversion, without Conversion
Dec 02, 24 01:47 PM
In subtraction of money we will learn how to subtract the amounts of money involving rupees and paise to find the difference. We carryout subtraction with money the same way as in decimal numbers. Whi… -
Word Problems on Addition of Money |Money Word Problems|Money Addition
Dec 02, 24 01:26 PM
Let us consider some of the word problems on addition of money. We have solved the problems in both the methods i.e., with conversion into paise and without conversion into paise. Worked-out examples -
Addition of Money | Add The Amounts of Money Involving Rupees & Paisa
Nov 29, 24 01:26 AM
In addition of money we will learn how to add the amounts of money involving rupees and paisa together. We carryout with money the same way as in decimal numbers. While adding we need to follow that t…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.