69/81 added to 139/2 in Fraction Form

The result of 69/81 added to 139/2 is: 70 19/54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6981 and 1392.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6981 to 138162
Convert 1392 to 11259162

Step 4: Add the Numerators

Add the numerators: 138 + 11259 = 11397

Step 5: Simplify the Fraction

We can simplify 11397162 to its lowest form.
The greatest common divisor (GCD) of 11397 and 162 is 3.
Dividing both numerator and denominator by the GCD, we get 379954.

Step 6: Convert to Mixed Number

The fraction 379954 can be written as the mixed number 701954.

Final Answer

The result of 69/81 added to 139/2 is:

6981+1392=701954

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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