HOW TO CONVERT DECIMALS TO FRACTIONS

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.

Decimal ---> Improper Fraction

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. 

Decimal ---> Mixed Number or Mixed Fraction

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. 

Decimal ---> Proper Fraction

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. 

Practice Problems

Problem 1 :

Convert the following decimal to an improper fraction.

1.25

Solution :

1.25  =  125/100

=  5/4

Problem 2 :

Convert the following decimal to an improper fraction.

3.025

Solution :

3.025  =  3025/1000

=  121/40

Problem 3 :

Convert the following decimal to a mixed number.

3.055

Solution :

3.055  =  3  55/1000

=  3  11/200

Problem 4 :

Convert the following decimal to a mixed number. 

3.55

Solution :

3.55  =  3 55/100

=  3 11/20

Problem 5 :

Convert the following decimal to a proper fraction.

0.025

Solution :

0.025  =  25/1000

=  1/40

Problem 6 :

Convert the following decimal to a proper fraction.

0.235

Solution :

0.235  =  235/1000

=  47/200

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