14/222 added to 21/3 in Fraction Form

The result of 14/222 added to 21/3 is: 7 7/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14222 and 213.

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 213 to 1554222

Step 4: Add the Numerators

Add the numerators: 14 + 1554 = 1568

Step 5: Simplify the Fraction

We can simplify 1568222 to its lowest form.
The greatest common divisor (GCD) of 1568 and 222 is 2.
Dividing both numerator and denominator by the GCD, we get 784111.

Step 6: Convert to Mixed Number

The fraction 784111 can be written as the mixed number 77111.

Final Answer

The result of 14/222 added to 21/3 is:

14222+213=77111

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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