13/149 added to 118/2 in Fraction Form

The result of 13/149 added to 118/2 is: 59 13/149

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13149 and 1182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 2 is 298.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13149 to 26298
Convert 1182 to 17582298

Step 4: Add the Numerators

Add the numerators: 26 + 17582 = 17608

Step 5: Simplify the Fraction

We can simplify 17608298 to its lowest form.
The greatest common divisor (GCD) of 17608 and 298 is 2.
Dividing both numerator and denominator by the GCD, we get 8804149.

Step 6: Convert to Mixed Number

The fraction 8804149 can be written as the mixed number 5913149.

Final Answer

The result of 13/149 added to 118/2 is:

13149+1182=5913149

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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