7/207 added to 26/6 in Fraction Form

The result of 7/207 added to 26/6 is: 4 76/207

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7207 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 207 and 6 is 414.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7207 to 14414
Convert 266 to 1794414

Step 4: Add the Numerators

Add the numerators: 14 + 1794 = 1808

Step 5: Simplify the Fraction

We can simplify 1808414 to its lowest form.
The greatest common divisor (GCD) of 1808 and 414 is 2.
Dividing both numerator and denominator by the GCD, we get 904207.

Step 6: Convert to Mixed Number

The fraction 904207 can be written as the mixed number 476207.

Final Answer

The result of 7/207 added to 26/6 is:

7207+266=476207

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: