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Fraction to Percentage and Number Conversion:
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This calculator converts fractions to percentages and calculates proportional numbers. It's useful for various mathematical, scientific, and everyday calculations involving ratios and proportions.
The calculator uses these formulas:
Where:
Explanation: The calculator first computes the fraction a/b, then converts it to a percentage by multiplying by 100, and calculates the proportional number by multiplying n by the fraction.
Details: Understanding fractions and their conversion to percentages is fundamental in mathematics, science, finance, and many real-world applications like cooking, construction, and data analysis.
Tips: Enter the numerator and denominator (must be positive), and optionally a number to multiply by the fraction. The denominator cannot be zero.
Q1: What if my denominator is zero?
A: The calculator will not accept zero as a denominator as division by zero is undefined in mathematics.
Q2: How precise are the results?
A: Results are rounded to 4 decimal places for fractions and 2 decimal places for percentages and numbers.
Q3: Can I use negative numbers?
A: The calculator only accepts positive numbers as inputs to avoid complex number results.
Q4: What's the difference between a fraction and percentage?
A: A fraction represents a part of a whole (a/b), while a percentage represents that fraction as parts per hundred.
Q5: When would I need to calculate n × (a/b)?
A: This is useful for proportional calculations, like determining what portion of a total amount corresponds to a given ratio.