28/222 added to 7/3 in Fraction Form

The result of 28/222 added to 7/3 is: 2 17/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 28222 and 73.

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 28222 to 28222
Convert 73 to 518222

Step 4: Add the Numerators

Add the numerators: 28 + 518 = 546

Step 5: Simplify the Fraction

We can simplify 546222 to its lowest form.
The greatest common divisor (GCD) of 546 and 222 is 6.
Dividing both numerator and denominator by the GCD, we get 9137.

Step 6: Convert to Mixed Number

The fraction 9137 can be written as the mixed number 21737.

Final Answer

The result of 28/222 added to 7/3 is:

28222+73=21737

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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