20/121 added to 2/6 in Fraction Form

The result of 20/121 added to 2/6 is: 181/363

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{0} 121$ and $\frac{2}{6}$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 121 and 6 is 726.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{0} 121$ to $\frac{120}{7} 26$
Convert $\frac{2}{6}$ to $\frac{242}{7} 26$

Step 4: Add the Numerators

Add the numerators: 120 + 242 = 362

Step 5: Simplify the Fraction

We can simplify $\frac{3}{6} 2726$ to its lowest form.
The greatest common divisor (GCD) of 362 and 726 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{8} 1363$ .

Final Answer

The result of 20/121 added to 2/6 is:

\frac{20}{121} + \frac{2}{6} = \frac{1}{8} 1363

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: