13/177 added to 135/2 in Fraction Form

The result of 13/177 added to 135/2 is: 67 203/354

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{3} 177$ and $\frac{1}{3} 52$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 2 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{3} 177$ to $\frac{26}{3} 54$
Convert $\frac{1}{3} 52$ to $\frac{23895}{3} 54$

Step 4: Add the Numerators

Add the numerators: 26 + 23895 = 23921

Step 5: Convert to Mixed Number

The fraction $\frac{2}{3} 921354$ can be written as the mixed number $67 \frac{2}{0} 3354$ .

Final Answer

The result of 13/177 added to 135/2 is:

\frac{13}{177} + \frac{135}{2} = 67 \frac{2}{0} 3354

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: