67/39 added to 194/3 in Fraction Form

The result of 67/39 added to 194/3 is: 66 5/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6739 and 1943.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6739 to 6739
Convert 1943 to 252239

Step 4: Add the Numerators

Add the numerators: 67 + 2522 = 2589

Step 5: Simplify the Fraction

We can simplify 258939 to its lowest form.
The greatest common divisor (GCD) of 2589 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 86313.

Step 6: Convert to Mixed Number

The fraction 86313 can be written as the mixed number 66513.

Final Answer

The result of 67/39 added to 194/3 is:

6739+1943=66513

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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