14/21 added to 22/3 in Fraction Form

The result of 14/21 added to 22/3 is: 8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1421 and 223.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1421 to 1421
Convert 223 to 15421

Step 4: Add the Numerators

Add the numerators: 14 + 154 = 168

Step 5: Simplify the Fraction

We can simplify 16821 to its lowest form.
The greatest common divisor (GCD) of 168 and 21 is 21.
Dividing both numerator and denominator by the GCD, we get 81.

Final Answer

The result of 14/21 added to 22/3 is:

1421+223=8

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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