6/194 added to 14/3 in Fraction Form

The result of 6/194 added to 14/3 is: 4 203/291

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6194 and 143.

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 143 to 2716582

Step 4: Add the Numerators

Add the numerators: 18 + 2716 = 2734

Step 5: Simplify the Fraction

We can simplify 2734582 to its lowest form.
The greatest common divisor (GCD) of 2734 and 582 is 2.
Dividing both numerator and denominator by the GCD, we get 1367291.

Step 6: Convert to Mixed Number

The fraction 1367291 can be written as the mixed number 4203291.

Final Answer

The result of 6/194 added to 14/3 is:

6194+143=4203291

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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