8/26 added to 208/3 in Fraction Form

The result of 8/26 added to 208/3 is: 69 25/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 826 and 2083.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 826 to 2478
Convert 2083 to 540878

Step 4: Add the Numerators

Add the numerators: 24 + 5408 = 5432

Step 5: Simplify the Fraction

We can simplify 543278 to its lowest form.
The greatest common divisor (GCD) of 5432 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 271639.

Step 6: Convert to Mixed Number

The fraction 271639 can be written as the mixed number 692539.

Final Answer

The result of 8/26 added to 208/3 is:

826+2083=692539

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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