26/199 added to 102/3 in Fraction Form

The result of 26/199 added to 102/3 is: 34 26/199

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26199 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 199 and 3 is 597.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26199 to 78597
Convert 1023 to 20298597

Step 4: Add the Numerators

Add the numerators: 78 + 20298 = 20376

Step 5: Simplify the Fraction

We can simplify 20376597 to its lowest form.
The greatest common divisor (GCD) of 20376 and 597 is 3.
Dividing both numerator and denominator by the GCD, we get 6792199.

Step 6: Convert to Mixed Number

The fraction 6792199 can be written as the mixed number 3426199.

Final Answer

The result of 26/199 added to 102/3 is:

26199+1023=3426199

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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