13/259 added to 13/4 in Fraction Form

The result of 13/259 added to 13/4 is: 3 311/1036

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{3} 259$ and $\frac{1}{3} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 259 and 4 is 1036.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{3} 259$ to $\frac{52}{1} 036$
Convert $\frac{1}{3} 4$ to $\frac{3367}{1} 036$

Step 4: Add the Numerators

Add the numerators: 52 + 3367 = 3419

Step 5: Convert to Mixed Number

The fraction $\frac{3}{4} 191036$ can be written as the mixed number $3 \frac{3}{1} 11036$ .

Final Answer

The result of 13/259 added to 13/4 is:

\frac{13}{259} + \frac{13}{4} = 3 \frac{3}{1} 11036

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (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).

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