# FRACTIONS DECIMALS AND PERCENTAGES

## About "Fractions decimals and percentages"

Fractions decimals and percentages are just different ways of showing the same value.

It has been clearly explained here.

## 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 ## Fractions decimals and percentages - 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

Let us look at the next problem on "Fractions, decimals and percentages"

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

Let us look at the next problem on "Fractions, decimals and percentages"

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

Let us look at the next problem on "Fractions, decimals and percentages"

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

Let us look at the next problem on "Fractions, decimals and percentages"

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 "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 %

Let us look at the next problem on "Fractions decimals and percentages

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 %

Let us look at the next problem on "Fractions decimals and percentages

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 %

Let us look at the next problem on "Fractions decimals and percentages

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 %

Let us look at the next problem on "Fractions decimals and percentages

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 "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

Let us look at the next problem on "Fractions, decimals and percentages"

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

Let us look at the next problem on "Fractions, decimals and percentages"

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

Let us look at the next problem on "Fractions, decimals and percentages"

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 "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

Let us look at the next problem on "Fractions, decimals and percentages"

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

Let us look at the next problem on "Fractions decimals and percentages

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 "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 "Fractions decimals and percentages"

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 "Fractions decimals and percentages"

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 "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 "Fractions decimals and percentages"

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 "Fractions decimals and percentages"

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 "Fractions, decimals and percentages"

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 "Fractions, decimals and percentages"

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

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