**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.

**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**

**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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