Introduction :
A fraction is a part or parts of a whole. If the numerator value is larger than its denominator value, the fraction is called an Improper fraction. For example 4/3, 7/2 is all improper fractions. An improper fraction value is always larger than the value1. The special kind of fraction is known as decimal fractions. That having the denominator to the powers of 10.
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Convert the Improper Fraction to Decimal
Step 1: First we can convert the divide the numerator value by denominator value. It involves two cases. They are described in step 2
Step 2: On the first step numerator is surely greater than the denominator. But the remainder of this step value is lesser than the denominator. This is the type of proper fraction.
Step 3: So we put a point on the quotient value then we can add zero to the remainder value.
Step 4: Now the numerator value is greater than the denominator. Again we can do the same procedure. Now we can get the decimal form of the given improper fraction.
These are the main steps to followed by converting the improper fraction to decimal value.
Step 2: On the first step numerator is surely greater than the denominator. But the remainder of this step value is lesser than the denominator. This is the type of proper fraction.
Step 3: So we put a point on the quotient value then we can add zero to the remainder value.
Step 4: Now the numerator value is greater than the denominator. Again we can do the same procedure. Now we can get the decimal form of the given improper fraction.
These are the main steps to followed by converting the improper fraction to decimal value.
Example Problem-improper Fraction to Decimal:
Consider the improper fraction 8/3.
This is an improper fraction because its numerator is greater than the denominator.
Two times 3 is 6 so we can get the remainder 2.
Then 2 is not divided by 3.
So we can add zero to 2 and put a point on the quotient value
That is 20
Now 20 can be divided by 3.
6 x3 are 18.
Then the remainder is 2.
Again 2 is not divided by 3
So we can use the same procedure.
Then the decimal value is 2.66…..
This value is going on.
So we can convert this decimal as 2.67
This is the procedure to convert the improper fraction to decimals.
Two times 3 is 6 so we can get the remainder 2.
Then 2 is not divided by 3.
So we can add zero to 2 and put a point on the quotient value
That is 20
Now 20 can be divided by 3.
6 x3 are 18.
Then the remainder is 2.
Again 2 is not divided by 3
So we can use the same procedure.
Then the decimal value is 2.66…..
This value is going on.
So we can convert this decimal as 2.67
This is the procedure to convert the improper fraction to decimals.
Consider another improper fraction 15/4
This is an improper fraction because its numerator is greater than the denominator.
Three times 4 is 12 so we can get the remainder 3.
Then 3 is not divided by 4.
So we can add zero to 3 and put a point on the quotient value
That is 30
Now 30 can be divided by 4.
7 x4 are 28.
Then the remainder is 2.
Again 2 is not divided by 4
So we can use the same procedure.
Now the value is 20
20 is divided by 4
5 times 4 is 20
So the remainder is zero
Therefore the quotient value is 3.75
This is our required decimal
Three times 4 is 12 so we can get the remainder 3.
Then 3 is not divided by 4.
So we can add zero to 3 and put a point on the quotient value
That is 30
Now 30 can be divided by 4.
7 x4 are 28.
Then the remainder is 2.
Again 2 is not divided by 4
So we can use the same procedure.
Now the value is 20
20 is divided by 4
5 times 4 is 20
So the remainder is zero
Therefore the quotient value is 3.75
This is our required decimal
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