7/69 added to 194/2 in Fraction Form

The result of 7/69 added to 194/2 is: 97 7/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 769 and 1942.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 2 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 769 to 14138
Convert 1942 to 13386138

Step 4: Add the Numerators

Add the numerators: 14 + 13386 = 13400

Step 5: Simplify the Fraction

We can simplify 13400138 to its lowest form.
The greatest common divisor (GCD) of 13400 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 670069.

Step 6: Convert to Mixed Number

The fraction 670069 can be written as the mixed number 97769.

Final Answer

The result of 7/69 added to 194/2 is:

769+1942=97769

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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