Fraction to Decimal Solver
Enter any fraction below, and I'll show you exactly how to transform it into a decimal number!
Calculation Breakdown
The Simple Step
Decimal Result
How to Convert a Fraction into a Decimal
The Secret of the Fraction Line
Here is a mathematical secret: the line that separates the top number and the bottom number in a fraction actually means "divided by".
So, when you see a fraction like $\frac{3}{4}$, it is exactly the same as writing $3 \div 4$. If you type $3 \div 4$ into a calculator, you get $0.75$. It's that easy!
Terminating vs. Repeating
When you divide to find your decimal, one of two things will happen:
- Terminating Decimal: The division stops perfectly. (Example: $1 \div 2 = 0.5$)
- Repeating Decimal: The numbers go on forever in a pattern! (Example: $1 \div 3 = 0.3333...$) We usually round these off to make them easier to read.
The Conversion Steps
1 Setup the Division
Take the numerator (the top number) and get ready to divide it by the denominator (the bottom number).
2 Add a Decimal
Because the top number is usually smaller than the bottom number, you will need to add a decimal point and some zeros to complete the long division.
3 Divide & Conquer
Perform the division until you get a remainder of zero, or until you notice a repeating pattern in your answer.