23/213 added to 44/2 in Fraction Form

The result of 23/213 added to 44/2 is: 22 23/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23213 and 442.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 2 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23213 to 46426
Convert 442 to 9372426

Step 4: Add the Numerators

Add the numerators: 46 + 9372 = 9418

Step 5: Simplify the Fraction

We can simplify 9418426 to its lowest form.
The greatest common divisor (GCD) of 9418 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 4709213.

Step 6: Convert to Mixed Number

The fraction 4709213 can be written as the mixed number 2223213.

Final Answer

The result of 23/213 added to 44/2 is:

23213+442=2223213

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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