How to convert decimal into fraction :
In this section, you will learn, how a decimal can be converted into a fraction.
In the process of converting decimal numbers in to fractions, we may have the following situations.
Decimal -----> Improper Fraction
Decimal -----> Mixed Fraction or Mixed Number
Decimal -----> Proper Fraction
Note :
We will have the first and second situations, if the value of the decimal number is greater than 1.
We will have the third situation, if the value of the decimal number is less than 1.
We can convert a decimal number in to an improper fraction, if the value of the decimal number is greater than 1.
Examples :
1.23, 78.34, 891.565, 125.63
All the above decimal numbers are greater than 1. So we can convert them in to improper fractions.
Now, you can learn, how to convert a decimal number into an improper fraction by watching this video.
We can convert a decimal number in to a mixed number or mixed fraction, if the value of the decimal number is greater than 1.
Examples :
123.23, 8.34, 81.65, 25.63
All the above decimal numbers are greater than 1. So we can convert them in to mixed numbers.
Now, you can learn, how to convert a decimal number into a mixed number or mixed fraction by watching this video.
We can convert a decimal number in to a proper fraction, if the value of the decimal number is less than 1.
Examples :
0.23, 0.0234, 0.65, 0.1
All the above decimal numbers are less than 1. So we can convert them in to proper fractions.
Now, you can learn, how to convert a decimal number into a proper fraction by watching this video.
Problem 1 :
Convert the given decimal number in to an improper fraction.
1.25
Solution :
1.25 = 125/100
1.25 = 5/4
Problem 2 :
Convert the given decimal number in to an improper fraction.
3.025
Solution :
3.025 = 3025/1000
3.025 = 121/40
Problem 3 :
Convert the given decimal number in to a mixed number.
3.055
Solution :
3.055 = 3 55/1000
3.055 = 3 11/200
Problem 4 :
Convert the given decimal number in to a mixed number.
3.55
Solution :
3.55 = 3 55/100
3.55 = 3 11/20
Problem 5 :
Convert the given decimal number in to a proper fraction.
0.025
Solution :
0.025 = 25/1000
0.025 = 1/40
Problem 6 :
Convert the given decimal number in to a proper fraction.
0.235
Solution :
0.235 = 235/1000
0.235 = 47/200
After having gone through the stuff given above, we hope that the students would have understood, how to convert decimals into fractions.
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