26/84 added to 164/2 in Fraction Form

The result of 26/84 added to 164/2 is: 82 13/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2684 and 1642.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 84 and 2 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2684 to 2684
Convert 1642 to 688884

Step 4: Add the Numerators

Add the numerators: 26 + 6888 = 6914

Step 5: Simplify the Fraction

We can simplify 691484 to its lowest form.
The greatest common divisor (GCD) of 6914 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 345742.

Step 6: Convert to Mixed Number

The fraction 345742 can be written as the mixed number 821342.

Final Answer

The result of 26/84 added to 164/2 is:

2684+1642=821342

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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