CONVERT BETWEEN PERCENTS FRACTIONS AND DECIMALS WORKSHEET

Convert Between Percents Fractions and Decimals Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on conversions  between percents fractions and decimals.

Convert Between Percents Fractions and Decimals Worksheet - Problems

Problem 1 :

Convert the percentage given below into a proper fraction

2.4%

Problem 2 :

Convert the percentage given below into a proper fraction

0.55%

Problem 3 :

Convert the percentage given below into a proper fraction

0.25%

Problem 4 :

Convert the percentage given below into an improper fraction

115%

Problem 5 :

Convert the percentage given below into an proper fraction

15%

Problem 6 :

Convert the given fraction into decimal

3/20

Problem 7 :

Covert the given fraction into decimal

7/10

Problem 8 :

Covert the fraction into decimal

3/50

Problem 9 :

Covert the given fraction into decimal

1/2

Problem 10 :

Covert the fraction into decimal

3/4

Problem 11 :

Convert the fraction into percentage.

2/3

Problem 12 :

Convert the given fraction into percentage.

5/6

Problem 13 :

Convert the given fraction into percentage.

5/12

Problem 14 :

Convert the given fraction into percentage.

45/8

Problem 15 :

Convert the given fraction into percentage.

10/3 Convert Between Percents Fractions and Decimals Worksheet - Problems

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

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.

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.

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 proper 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  =  (3 ⋅ 2)/(50 ⋅ 2)  =  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  =  (1 ⋅ 5)/(2 ⋅ 5)  =  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  =  (3 ⋅ 25)/(4 ⋅ 25)  =  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, we have

2/3  ≈  0.6666

0.6666  =  0.6666 ⋅ 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, we have

5/6  ≈  0.8333

0.8333  =  0.8333 ⋅ 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, we have

5/12  ≈  0.4166

0.4166  =  0.4166 ⋅ 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, we have

45/8  =  5.625

5.625  =  5.625 ⋅ 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, we have

10/3    3.3333

3.3333  =  3.3333  100%  =  333.33%

Hence, 10/3  ≈  333.33%. After having gone through the stuff given above, we hope that the students would have understood, how to do conversions between percents, fractions and decimals.

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