21/26 added to 255/2 in Fraction Form

The result of 21/26 added to 255/2 is: 128 4/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 26$ and $\frac{2}{5} 52$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 26$ to $\frac{21}{2} 6$
Convert $\frac{2}{5} 52$ to $\frac{3315}{2} 6$

Step 4: Add the Numerators

Add the numerators: 21 + 3315 = 3336

Step 5: Simplify the Fraction

We can simplify $\frac{3}{3} 3626$ to its lowest form.
The greatest common divisor (GCD) of 3336 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{6} 6813$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{6} 6813$ can be written as the mixed number $128 \frac{4}{1} 3$ .

Final Answer

The result of 21/26 added to 255/2 is:

\frac{21}{26} + \frac{255}{2} = 128 \frac{4}{1} 3

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: