69/99 added to 136/2 in Fraction Form

The result of 69/99 added to 136/2 is: 68 23/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6999 and 1362.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 2 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6999 to 138198
Convert 1362 to 13464198

Step 4: Add the Numerators

Add the numerators: 138 + 13464 = 13602

Step 5: Simplify the Fraction

We can simplify 13602198 to its lowest form.
The greatest common divisor (GCD) of 13602 and 198 is 6.
Dividing both numerator and denominator by the GCD, we get 226733.

Step 6: Convert to Mixed Number

The fraction 226733 can be written as the mixed number 682333.

Final Answer

The result of 69/99 added to 136/2 is:

6999+1362=682333

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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