11/205 added to 11/3 in Fraction Form
The result of 11/205 added to 11/3 is: 3 443/615
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac11205\) and \(\frac113\).
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need a common denominator. The LCM of 205 and 3 is 615.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac11205\) to \(\frac{33}615\)
Convert \(\frac113\) to \(\frac{2255}615\)
Step 4: Add the Numerators
Add the numerators: 33 + 2255 = 2288
Step 5: Convert to Mixed Number
The fraction \(\frac2288615\) can be written as the mixed number \(3\frac443615\).
Final Answer
The result of 11/205 added to 11/3 is:
Understanding Fraction Addition
How to Add Fractions
To add fractions, you need to ensure they have a common denominator. Then add the numerators:
\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)
Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (when denominators are the same)
Why Simplify Fractions?
Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
Fraction Calculator
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