13/205 added to 11/4 in Fraction Form
The result of 13/205 added to 11/4 is: 2 667/820
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac13205\) and \(\frac114\).
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need a common denominator. The LCM of 205 and 4 is 820.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac13205\) to \(\frac{52}820\)
Convert \(\frac114\) to \(\frac{2255}820\)
Step 4: Add the Numerators
Add the numerators: 52 + 2255 = 2307
Step 5: Convert to Mixed Number
The fraction \(\frac2307820\) can be written as the mixed number \(2\frac667820\).
Final Answer
The result of 13/205 added to 11/4 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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