Decimal to Fraction Converter
How It Works
This decimal to fraction converter uses established formulas to provide accurate results.
The basic rule:
- Decimal with n places = (decimal × 10^n) / 10^n
- Simplify by dividing numerator and denominator by GCF
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
How do you convert a decimal to a fraction?
Count the number of decimal places. Put the digits after the decimal point over a power of 10 (10, 100, 1000, etc.) matching the number of decimal places. Then simplify. For example, 0.75 = 75/100 = 3/4.
How do you convert 0.5 to a fraction?
0.5 has one decimal place, so put 5 over 10: 5/10. Simplify by dividing both by 5 to get 1/2.
Can you convert repeating decimals to fractions?
Yes, but it requires algebra. For example, 0.333... = 1/3. For this calculator, enter a rounded version of the repeating decimal for an approximate fraction.
Why is it useful to convert decimals to fractions?
Fractions are exact representations while some decimals are approximations (like 0.333... for 1/3). Fractions also make it easier to see relationships between numbers and are often required in math class.