6/194 added to 85/3 in Fraction Form

The result of 6/194 added to 85/3 is: 28 106/291

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6194 and 853.

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 853 to 16490582

Step 4: Add the Numerators

Add the numerators: 18 + 16490 = 16508

Step 5: Simplify the Fraction

We can simplify 16508582 to its lowest form.
The greatest common divisor (GCD) of 16508 and 582 is 2.
Dividing both numerator and denominator by the GCD, we get 8254291.

Step 6: Convert to Mixed Number

The fraction 8254291 can be written as the mixed number 28106291.

Final Answer

The result of 6/194 added to 85/3 is:

6194+853=28106291

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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