6/194 added to 71/3 in Fraction Form

The result of 6/194 added to 71/3 is: 23 203/291

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6194 and 713.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 194 and 3 is 582.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6194 to 18582
Convert 713 to 13774582

Step 4: Add the Numerators

Add the numerators: 18 + 13774 = 13792

Step 5: Simplify the Fraction

We can simplify 13792582 to its lowest form.
The greatest common divisor (GCD) of 13792 and 582 is 2.
Dividing both numerator and denominator by the GCD, we get 6896291.

Step 6: Convert to Mixed Number

The fraction 6896291 can be written as the mixed number 23203291.

Final Answer

The result of 6/194 added to 71/3 is:

6194+713=23203291

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).

Fraction Calculator

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