Fraction to Decimal Conversion:
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The fraction 1/3 represents one divided by three. When converted to decimal form, it becomes 0.3333..., which is a repeating decimal where the digit 3 repeats infinitely.
There are several methods to input 1/3 on a calculator:
Step-by-step calculation:
Details: 1/3 is a classic example of a repeating decimal. The decimal representation never terminates and the digit 3 repeats infinitely. Most calculators will show 0.3333333 or similar approximation.
Different Calculator Types:
Q1: Why does 1/3 equal 0.333...?
A: Because 3 cannot divide evenly into 1, so the division continues infinitely with remainder 1 each time, producing repeating 3s.
Q2: Is 0.333... exactly equal to 1/3?
A: Yes, mathematically 0.333... (with infinite 3s) is exactly equal to 1/3.
Q3: How do calculators handle repeating decimals?
A: Calculators display approximations based on their display limitations, usually showing 0.3333333 or similar.
Q4: Can I input fractions directly on all calculators?
A: Only calculators with fraction functionality allow direct fraction input. Most basic calculators require division.
Q5: What's the most accurate way to represent 1/3?
A: For exact calculations, keep it as the fraction 1/3. For decimal approximations, use sufficient decimal places for your needs.