26/253 added to 13/3 in Fraction Form

The result of 26/253 added to 13/3 is: 4 331/759

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{6} 253$ and $\frac{1}{3} 3$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 253 and 3 is 759.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{6} 253$ to $\frac{78}{7} 59$
Convert $\frac{1}{3} 3$ to $\frac{3289}{7} 59$

Step 4: Add the Numerators

Add the numerators: 78 + 3289 = 3367

Step 5: Convert to Mixed Number

The fraction $\frac{3}{3} 67759$ can be written as the mixed number $4 \frac{3}{3} 1759$ .

Final Answer

The result of 26/253 added to 13/3 is:

\frac{26}{253} + \frac{13}{3} = 4 \frac{3}{3} 1759

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).

Fraction Calculator

Calculate operations between any two fractions: