CONVERT BETWEEN PERCENTS FRACTIONS AND DECIMALS WORKSHEET

About "Convert between percents fractions and decimals worksheet"

Convert between percents fractions and decimals worksheet :

Here we are going to see some practice problems on converting between percents fractions and decimals.

Convert between percents fractions and decimals worksheet - Practice problems

(1)  Convert the percentage given below into a proper fraction

• 2.4%
• 0.55%
• 0.25%
• 125%
• 15%

(2)  Convert the given fraction into decimal

• 3/20
• 7/10
• 3/50
• 1/2
• 3/4

(3)  Convert the given fraction into percentage.

• 2/3
• 5/6
• 5/12
• 45/8
• 10/3

Problem 1 :

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 see the example on "Convert between percents fractions and decimals".

Problem 2 :

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 see the example on "Convert between percents fractions and decimals".

Problem 3 :

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 see the example on "Convert between percents fractions and decimals".

Problem 4 :

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 5 :

Convert the percentage given below into an improper fraction

15%

Solution :

15%  =  15/100  =  3/20

Hence the improper fraction equal to the given percentage is 3/20

Problem 6 :

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 7 :

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 8 :

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 9 :

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 10 :

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

Problem 11 :

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 12 :

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 13 :

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 14 :

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 15 :

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 %

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

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