139/49 added to 102/6 in Fraction Form

The result of 139/49 added to 102/6 is: 19 41/49

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13949 and 1026.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 6 is 294.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13949 to 834294
Convert 1026 to 4998294

Step 4: Add the Numerators

Add the numerators: 834 + 4998 = 5832

Step 5: Simplify the Fraction

We can simplify 5832294 to its lowest form.
The greatest common divisor (GCD) of 5832 and 294 is 6.
Dividing both numerator and denominator by the GCD, we get 97249.

Step 6: Convert to Mixed Number

The fraction 97249 can be written as the mixed number 194149.

Final Answer

The result of 139/49 added to 102/6 is:

13949+1026=194149

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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