19/213 added to 80/2 in Fraction Form

The result of 19/213 added to 80/2 is: 40 19/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19213 and 802.

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 19213 to 38426
Convert 802 to 17040426

Step 4: Add the Numerators

Add the numerators: 38 + 17040 = 17078

Step 5: Simplify the Fraction

We can simplify 17078426 to its lowest form.
The greatest common divisor (GCD) of 17078 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 8539213.

Step 6: Convert to Mixed Number

The fraction 8539213 can be written as the mixed number 4019213.

Final Answer

The result of 19/213 added to 80/2 is:

19213+802=4019213

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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