17/205 added to 26/2 in Fraction Form

The result of 17/205 added to 26/2 is: 13 17/205

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17205 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 205 and 2 is 410.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17205 to 34410
Convert 262 to 5330410

Step 4: Add the Numerators

Add the numerators: 34 + 5330 = 5364

Step 5: Simplify the Fraction

We can simplify 5364410 to its lowest form.
The greatest common divisor (GCD) of 5364 and 410 is 2.
Dividing both numerator and denominator by the GCD, we get 2682205.

Step 6: Convert to Mixed Number

The fraction 2682205 can be written as the mixed number 1317205.

Final Answer

The result of 17/205 added to 26/2 is:

17205+262=1317205

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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: