26/34 added to 194/3 in Fraction Form

The result of 26/34 added to 194/3 is: 65 22/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2634 and 1943.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2634 to 78102
Convert 1943 to 6596102

Step 4: Add the Numerators

Add the numerators: 78 + 6596 = 6674

Step 5: Simplify the Fraction

We can simplify 6674102 to its lowest form.
The greatest common divisor (GCD) of 6674 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 333751.

Step 6: Convert to Mixed Number

The fraction 333751 can be written as the mixed number 652251.

Final Answer

The result of 26/34 added to 194/3 is:

2634+1943=652251

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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