CONVERT BETWEEN FRACTIONS DECIMALS AND PERCENTAGES

About "Convert between fractions decimals and percentages"

Convert between fractions decimals and percentages :

To solve many real world problems, we need to do conversions between percents, decimals and fractions. 

Let us see how to do conversions between percents, decimals and fractions. 

A half can be written 

A quarter can be written 

CONVERSIONS

Proper fraction to decimal

Improper fraction to decimal

Mixed fraction to decimal

Proper fraction to percentage

Improper fraction to percentage

Decimal to percentage

Decimal to fraction

Percentage to fraction

Percentage to decimal

Converting between percents decimals and fractions - Practice problems

Problem 1 :

Convert the given fraction into decimal

3/20

Solution : 

In  the given fraction, the denominator is 20 which is convertible to 100 using multiplication by 5.

So, we have 

3/20 =  (3x5)/(20x5) = 15/100 = 0.15

Hence,  3/20 = 0.15

Problem 2 :

Covert the given fraction into decimal

7/10

Solution : 

In  the fraction, the denominator is 10. 

So, we have 

7/10 = 0.7 

Hence,  7/10 = 0.7

Problem 3 :

Covert the fraction into decimal

3/50

Solution : 

In the fraction number, the denominator is 50 which is convertible to 100 using multiplication by 2. 

So, we have 

3/50 = (3x2)/(50x2) = 6/100 = 0.06 

Hence,  3/50 = 0.06

Problem 4 :

Covert the given fraction into decimal

 1/2

Solution : 

In the fraction, the denominator is 2 which is convertible to 10 using multiplication by 5. 

So, we have 

1/2 = (1x5)/(2x5) =  5/10 = 0.5 

Hence,  1/2 = 0.5

Problem 5 :

Covert the fraction into decimal

 3/4

Solution : 

In  the fraction, the denominator is 4 which is convertible to 100 using multiplication by 25. 

So, we have 

3/4 = (3x25)/(4x25) = 75/100 = 0.75 

Hence,  3/4 = 0.75

Let us look at the next problem on "Convert between fractions decimals and percentages"

Problem 6 : 

Convert the fraction into percentage.  

2/3

Solution :

Here, the denominator of the given fraction is 3 which can not be converted into 100 using multiplication. 

So the given fraction can be converted into decimal using long division. 

So, 2/3 = 0.6666  (approximately)

0.6666 = 0.6666 x 100 % = 66.66 %

Hence, 2/3 = 66.66 %  

Problem 7 : 

Convert the given fraction into percentage. 

5/6

Solution :

Here, the denominator of the given fraction is 6 which can not be converted into 100 using multiplication. 

So the given fraction can be converted into decimal using long division.  

So, 5/6 = 0.8333  (approximately)

0.8333 = 0.8333 x 100 % = 83.33 %

Hence, 5/6 = 83.33 %  

Problem 8 : 

Convert the given fraction into percentage. 

5/12

Solution :

Here, the denominator of the given fraction is 12 which can not be converted into 100 using multiplication. 

So the given fraction can be converted into decimal using long division.  

So, 5/12 = 0.4166  (approximately)

0.4166 = 0.4166 x 100 % = 41.66 %

Hence, 5/12 = 41.66 % 

Problem 9 : 

Convert the given fraction into percentage. 

45/8

Solution :

Here, the denominator of the given fraction is 8 which can not be converted into 100 using multiplication. 

So the given fraction can be converted into decimal using long division.  

So, 45/8 = 5.625

5.625 = 5.625 x 100 % = 562.5 %

Hence, 45/8 = 562.5 % 

Problem 10 : 

Convert the given fraction into percentage. 

10/3

Solution :

Here, the denominator of the given fraction is 3 which can not be converted into 100 using multiplication. 

So the given fraction can be converted into decimal using long division.  

So, 10/3 = 3.3333  (approximately)

3.3333 = 3.3333 x 100 % = 333.33 %

Hence, 10/3 = 333.33 % 

Let us look at the next problem on "Convert between fractions decimals and percentages"

Problem 11 :

Convert the percentage given below into a proper fraction

2.4%

Solution :

2.4%  =  2.4/100  =  24/1000  =  3/125

Hence the proper fraction equal to the given percentage is 3/125

Problem 12 :

Convert the percentage given below into a proper fraction

0.55%

Solution :

0.55%  =  0.55/100  =  55/10000  =  11/2000

Hence the proper fraction equal to the given percentage is 11/2000

Problem 13 :

Convert the percentage given below into a proper fraction

0.25%

Solution :

0.25%  =  0.25/100  =  25/10000

Hence the proper fraction equal to the given percentage is 1/400

Problem 14 :

Convert the percentage given below into an improper fraction

125%

Solution :

125%  =  125/100  =  5/4 

Hence the improper fraction equal to the given percentage is 5/4

Let us look at the next problem on "Convert between fractions decimals and percentages"

Problem 15 :

Convert the percentage given below into an improper fraction

125%

Solution :

125%  =  125/100  =  5/4 

Hence the improper fraction equal to the given percentage is 5/4

Problem 16 :

Convert the given decimal number in to an improper fraction.

1.25


Solution :

1.25 = 125/100 = 5/4

Hence the improper fraction equal to the given decimal is 5/4 

Problem 17 :

Convert the given decimal number in to an improper fraction.

3.025

Solution :

3.025 = 3025/1000 = 121/40

Hence the improper fraction equal to the given decimal is 121/40

Let us look at the next problem on "Convert between fractions decimals and percentages"

Problem 18 :

Convert the given decimal number in to an mixed fraction.

3.055

Solution :

3.055 = 3  55/1000 = 3  11/200

Hence the mixed fraction equal to the given decimal is 3 11/200

Let us look at the next problem on "Converting between percents decimals and fractions"

Problem 19 :

Convert the given decimal number in to an mixed fraction.

3.55

Solution :

3.55 = 3 55/100 = 3 11/20

Hence the mixed fraction equal to the given decimal is 3 11/20

Let us look at the next problem on "Converting between percents decimals and fractions"

Problem 20 :

Convert the given decimal number in to an proper fraction.

0.025

Solution :

0.025 =  25/1000 = 1/40

Hence the proper fraction equal to the given decimal is 1/40

Let us look at the next problem on "Convert between fractions decimals and percentages"

Problem 21 :

Convert the percentage given below into a proper fraction

24%

Solution :

24%  =  24/100  =  6/25

Hence the proper fraction equal to the given percentage is 6/25

Let us look at the next problem on "Converting between percents decimals and fractions"

Problem 22 :

Convert the percentage given below into a proper fraction

2.4%

Solution :

2.4%  =  2.4/100  =  24/1000  =  3/125

Hence the proper fraction equal to the given percentage is 3/125

Let us look at the next problem on "Converting between percents decimals and fractions"

Problem 23 :

Convert the percentage given below into a proper fraction

0.55%

Solution :

0.55%  =  0.55/100  =  55/10000  =  11/2000

Hence the proper fraction equal to the given percentage is 11/2000

Let us look at the next problem on "Converting between percents decimals and fractions"

Problem 24 :

Convert the percentage given below into a proper fraction

0.25%

Solution :

0.25%  =  0.25/100  =  25/10000

Hence the proper fraction equal to the given percentage is 1/400

Let us look at the next problem on "Converting between percents decimals and fractions"

Problem 25 :

Convert the percentage given below into an improper fraction

125%

Solution :

125%  =  125/100  =  5/4 

Hence the improper fraction equal to the given percentage is 5/4

After having gone through the stuff given above, we hope that the students would have understood "Convert between fractions decimals and percentages". 

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Related topics 

Like fractions and unlike fractions

Understanding percentages

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Non terminating repeating decimals

Non terminating decimals

Converting repeating decimals to fractions

Percents greater than 100 and less than 1

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Word problems on mixed fractions

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