19/265 added to 8/2 in Fraction Form

The result of 19/265 added to 8/2 is: 4 19/265

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19265 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 265 and 2 is 530.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19265 to 38530
Convert 82 to 2120530

Step 4: Add the Numerators

Add the numerators: 38 + 2120 = 2158

Step 5: Simplify the Fraction

We can simplify 2158530 to its lowest form.
The greatest common divisor (GCD) of 2158 and 530 is 2.
Dividing both numerator and denominator by the GCD, we get 1079265.

Step 6: Convert to Mixed Number

The fraction 1079265 can be written as the mixed number 419265.

Final Answer

The result of 19/265 added to 8/2 is:

19265+82=419265

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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