40/213 added to 2/2 in Fraction Form

The result of 40/213 added to 2/2 is: 1 40/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 40213 and 22.

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 40213 to 80426
Convert 22 to 426426

Step 4: Add the Numerators

Add the numerators: 80 + 426 = 506

Step 5: Simplify the Fraction

We can simplify 506426 to its lowest form.
The greatest common divisor (GCD) of 506 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 253213.

Step 6: Convert to Mixed Number

The fraction 253213 can be written as the mixed number 140213.

Final Answer

The result of 40/213 added to 2/2 is:

40213+22=140213

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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