14/208 added to 26/2 in Fraction Form

The result of 14/208 added to 26/2 is: 13 7/104

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14208 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 208 and 2 is 208.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14208 to 14208
Convert 262 to 2704208

Step 4: Add the Numerators

Add the numerators: 14 + 2704 = 2718

Step 5: Simplify the Fraction

We can simplify 2718208 to its lowest form.
The greatest common divisor (GCD) of 2718 and 208 is 2.
Dividing both numerator and denominator by the GCD, we get 1359104.

Step 6: Convert to Mixed Number

The fraction 1359104 can be written as the mixed number 137104.

Final Answer

The result of 14/208 added to 26/2 is:

14208+262=137104

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).

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