Convert Improper Fraction into Decimal

Mixed Fraction To Improper Fraction	Improper Fraction To Mixed Fraction	Fraction To Percentage	Mixed Fraction To Percentage	Proper Fraction into Decimal
Improper Fraction into Decimal	Mixed Fraction into Decimal

Before you study how to convert improper fraction into decimal you are advised to read What is Improper Fraction ? In order to convert an improper fraction into decimal, divide numerator by denominator in long division method. Example - Convert 5 2 into decimal In the given fraction we have: Numerator = 5 Denominator = 2 Steps of converting fraction into decimal in long division method are as follows: Step 1: Dividend = Numerator = 5 Divisor = Denominator = 2 Place dividend and divisor in long division method, as shown below: Step 2: Divide dividend (5) by divisor (2). Since 5 is not completely divisible by 2, so will choose a multiple of 2; which is smallest & nearest to 5. And 4 is a number which is a multiple of 2 & is smallest nearest number to 5. So we will write 4 below the dividend, as shown below: Step 3: Divide 4 by 2 and we get 2. So write 2 in the quotient, as shown below: Step 4: Subtract 4 from 5 and we get 1 as remainder, as shown below: Step 5: Since we have 1 as remainder, so long division method is not completed. In order to complete the division, we will put a decimal point after 5 in dividend and after 2 in quotient, as shown below: Step 6: Now, in dividend write Zero next to decimal point, as shown below: (Note: we can write as many zero as are required to complete the division) Step 7: Carry Zero from dividend and place it next to the remainder 1, as shown below: Step 8: Divide 10 by 2. We know that 10 is the multiple of 2 and on dividing 10 by 2, we get 5. So, we write 10 in the dividend column and 5 in quotient after decimal point; as shown below: Step 9: In the last, we get remainder as Zero (as shown below); so long division method also ends here, as shown below: Hence, fraction 5 2 is equal to decimal 2.5