3-digit fractions equal to 2:
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A 3-digit fraction equal to 2 is a fraction where both numerator and denominator are 3-digit numbers (100-999) and their division equals exactly 2. These fractions have interesting mathematical properties and patterns.
The calculator verifies if the input fraction equals 2:
Where:
Explanation: The calculator divides numerator by denominator and checks if the result exactly equals 2.
Examples: Here are some valid 3-digit fractions that equal 2:
Tips: Enter two 3-digit numbers (100-999) in the numerator and denominator fields. The calculator will check if their ratio equals exactly 2.
Q1: How many 3-digit fractions equal to 2 exist?
A: There are exactly 45 unique 3-digit fractions that equal 2.
Q2: What's the smallest numerator that works?
A: 200 (200/100 = 2)
Q3: What's the largest denominator that works?
A: 499 (998/499 = 2)
Q4: Can numerator and denominator be equal?
A: No, that would equal 1. For the fraction to equal 2, numerator must be exactly double the denominator.
Q5: Are all solutions of the form 2n/n?
A: Yes, all solutions can be expressed as (2 × n)/n where n is a 3-digit number.