26/192 added to 82/4 in Fraction Form

The result of 26/192 added to 82/4 is: 20 61/96

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26192 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 192 and 4 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26192 to 26192
Convert 824 to 3936192

Step 4: Add the Numerators

Add the numerators: 26 + 3936 = 3962

Step 5: Simplify the Fraction

We can simplify 3962192 to its lowest form.
The greatest common divisor (GCD) of 3962 and 192 is 2.
Dividing both numerator and denominator by the GCD, we get 198196.

Step 6: Convert to Mixed Number

The fraction 198196 can be written as the mixed number 206196.

Final Answer

The result of 26/192 added to 82/4 is:

26192+824=206196

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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