72/164 added to 104/2 in Fraction Form

The result of 72/164 added to 104/2 is: 52 18/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72164 and 1042.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 2 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72164 to 72164
Convert 1042 to 8528164

Step 4: Add the Numerators

Add the numerators: 72 + 8528 = 8600

Step 5: Simplify the Fraction

We can simplify 8600164 to its lowest form.
The greatest common divisor (GCD) of 8600 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get 215041.

Step 6: Convert to Mixed Number

The fraction 215041 can be written as the mixed number 521841.

Final Answer

The result of 72/164 added to 104/2 is:

72164+1042=521841

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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