139/69 added to 101/6 in Fraction Form

The result of 139/69 added to 101/6 is: 18 39/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13969 and 1016.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 6 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13969 to 278138
Convert 1016 to 2323138

Step 4: Add the Numerators

Add the numerators: 278 + 2323 = 2601

Step 5: Simplify the Fraction

We can simplify 2601138 to its lowest form.
The greatest common divisor (GCD) of 2601 and 138 is 3.
Dividing both numerator and denominator by the GCD, we get 86746.

Step 6: Convert to Mixed Number

The fraction 86746 can be written as the mixed number 183946.

Final Answer

The result of 139/69 added to 101/6 is:

13969+1016=183946

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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