49/146 added to 139/2 in Fraction Form

The result of 49/146 added to 139/2 is: 69 61/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 49146 and 1392.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 49146 to 49146
Convert 1392 to 10147146

Step 4: Add the Numerators

Add the numerators: 49 + 10147 = 10196

Step 5: Simplify the Fraction

We can simplify 10196146 to its lowest form.
The greatest common divisor (GCD) of 10196 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 509873.

Step 6: Convert to Mixed Number

The fraction 509873 can be written as the mixed number 696173.

Final Answer

The result of 49/146 added to 139/2 is:

49146+1392=696173

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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