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

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us : 

v4formath@gmail.com

We always appreciate your feedback. 

You can also visit the following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6