17/171 added to 127/2 in Fraction Form

The result of 17/171 added to 127/2 is: 63 205/342

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{7} 171$ and $\frac{1}{2} 72$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 2 is 342.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{7} 171$ to $\frac{34}{3} 42$
Convert $\frac{1}{2} 72$ to $\frac{21717}{3} 42$

Step 4: Add the Numerators

Add the numerators: 34 + 21717 = 21751

Step 5: Convert to Mixed Number

The fraction $\frac{2}{1} 751342$ can be written as the mixed number $63 \frac{2}{0} 5342$ .

Final Answer

The result of 17/171 added to 127/2 is:

\frac{17}{171} + \frac{127}{2} = 63 \frac{2}{0} 5342

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: