Fraction to Decimal Converter
How It Works
This fraction to decimal converter uses established formulas to provide accurate results.
The basic rule:
- Decimal = Numerator ÷ Denominator
- Terminating if simplified denominator has only factors of 2 and 5
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. You can do this with long division or a calculator.
What is a repeating decimal?
A repeating decimal is a decimal number where one or more digits repeat infinitely, like 1/3 = 0.3333... It is often written with a bar over the repeating digits.
How do you know if a fraction will be a repeating or terminating decimal?
After simplifying the fraction, look at the denominator. If its only prime factors are 2 and/or 5, the decimal terminates. If it has any other prime factors (like 3, 7, 11), the decimal repeats.
What are some common fraction-to-decimal conversions?
1/2 = 0.5, 1/3 = 0.333..., 1/4 = 0.25, 1/5 = 0.2, 1/8 = 0.125, 1/6 = 0.1666..., 3/4 = 0.75, 2/3 = 0.666...