"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.

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.

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", please click here.

Apart from the stuff given in this section, if you want any other 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**