**Convert Between Percents Fractions and Decimals Worksheet :**

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

**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

**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 = (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".

Apart from the stuff given above, if you want to know more about "Convert between percents fractions and decimals worksheet", please click here

Apart from the stuff given on "Convert between percents fractions and decimals worksheet", if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**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**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**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 **

**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 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**

HTML Comment Box is loading comments...