# CONVERTING FRACTIONS INTO DECIMALS

## About "Converting fractions into decimals"

"Converting fractions into decimals" is a much required stuff for the children who study math in primary level.

Here, we are going to see, how to convert fractions to decimals.

## How to convert fraction into decimal?

To convert the given fraction into decimal, first we have to check whether the denominator of the fraction is convertible to 10 or 100 using multiplication.

If it is convertible to 10 or 100 using multiplication, we can convert the given fraction into decimal as explained below.

If it is not convertible to 10 or 100 using multiplication, we can convert the given fraction into decimal as explained below.

## Some more problems

To have better understanding on "Converting fractions into decimals", let us look at some problems.

Problem 1 :

Covert 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 "Converting fractions into decimals".

Problem 2 :

Covert the given fraction into decimal

7/10

Solution :

In the given 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 "Converting fractions into decimals".

Problem 3 :

Covert the given fraction into decimal

3/50

Solution :

In the given fraction, 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 "Converting  fractions into decimals".

Problem 4 :

Covert the given fraction into decimal

1/2

Solution :

In the given 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 "Converting  fractions into decimals".

Problem 5 :

Covert the given fraction into decimal

3/4

Solution :

In the given 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 "Converting fractions into decimals".

Problem 6 :

Covert the given fraction into decimal

2/3

Solution :

In the given fraction, the denominator is 3 which is not convertible to 10 or 100 using multiplication.

Now, we have to get the decimal form of the fraction 2/3 using long division method as explained above.

When we do so, we get 2/3 = 0.67 (approximately)

Hence,  2/3 = 0.67

Let us look at the next problem on "Converting fractions to decimals".

Problem 7 :

Covert the given fraction into decimal

3/250

Solution :

In the given fraction, the denominator is 250 which is not convertible to 1000 using multiplication by 4.

So, we have

3/250 = (3x4)/(250x4) = 12/1000 = 0.012

Hence, 3/250 = 0.012

Let us look at the next problem on "Converting fractions into decimals".

Problem 8 :

Covert the given fraction into decimal

5/6

Solution :

In the given fraction, the denominator is 6 which is not convertible to 10 or 100 using multiplication.

Now, we have to get the decimal form of the fraction 5/6 using long division method as explained above.

When we do so, we get 5/6 = 0.83 (approximately)

Hence, 5/6 = 0.83

Let us look at the next problem on "Converting fractions to decimals".

Problem 9 :

Covert the given fraction into decimal

14/9

Solution :

In the given fraction, the denominator is 9 which is not convertible to 10 or 100 using multiplication.

Now, we have to get the decimal form of the fraction 4/9 using long division method as explained above.

When we do so, we get 14/9 = 1.56 (approximately)

Hence, 14/9 = 1.56

Let us look at the next problem on "Converting fractions to decimals".

Problem 10 :

Covert the given fraction into decimal

15/8

Solution :

In the given fraction, the denominator is 8 which is not convertible to 10 or 100 using multiplication.

Now, we have to get the decimal form of the fraction 15/8 using long division method as explained above.

When we do so, we get 15/8 = 1.875

Hence, 15/8 = 1.875

We hope that the students would have understood the stuff and examples explained on "converting fractions to decimals".

Apart from the stuff and examples explained above, if you want to know more about "converting fractions into decimals",

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