22/164 added to 28/3 in Fraction Form

The result of 22/164 added to 28/3 is: 9 115/246

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22164 and 283.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 3 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22164 to 66492
Convert 283 to 4592492

Step 4: Add the Numerators

Add the numerators: 66 + 4592 = 4658

Step 5: Simplify the Fraction

We can simplify 4658492 to its lowest form.
The greatest common divisor (GCD) of 4658 and 492 is 2.
Dividing both numerator and denominator by the GCD, we get 2329246.

Step 6: Convert to Mixed Number

The fraction 2329246 can be written as the mixed number 9115246.

Final Answer

The result of 22/164 added to 28/3 is:

22164+283=9115246

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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