26/169 added to 1/2 in Fraction Form

The result of 26/169 added to 1/2 is: 17/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{6} 169$ and $\frac{1}{2}$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 169 and 2 is 338.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{6} 169$ to $\frac{52}{3} 38$
Convert $\frac{1}{2}$ to $\frac{169}{3} 38$

Step 4: Add the Numerators

Add the numerators: 52 + 169 = 221

Step 5: Simplify the Fraction

We can simplify $\frac{2}{2} 1338$ to its lowest form.
The greatest common divisor (GCD) of 221 and 338 is 13.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{7} 26$ .

Final Answer

The result of 26/169 added to 1/2 is:

\frac{26}{169} + \frac{1}{2} = \frac{1}{7} 26

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: