14/222 added to 19/3 in Fraction Form

The result of 14/222 added to 19/3 is: 6 44/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14222 and 193.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14222 to 14222
Convert 193 to 1406222

Step 4: Add the Numerators

Add the numerators: 14 + 1406 = 1420

Step 5: Simplify the Fraction

We can simplify 1420222 to its lowest form.
The greatest common divisor (GCD) of 1420 and 222 is 2.
Dividing both numerator and denominator by the GCD, we get 710111.

Step 6: Convert to Mixed Number

The fraction 710111 can be written as the mixed number 644111.

Final Answer

The result of 14/222 added to 19/3 is:

14222+193=644111

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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