8/183 added to 102/4 in Fraction Form

The result of 8/183 added to 102/4 is: 25 199/366

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8183 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 183 and 4 is 732.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8183 to 32732
Convert 1024 to 18666732

Step 4: Add the Numerators

Add the numerators: 32 + 18666 = 18698

Step 5: Simplify the Fraction

We can simplify 18698732 to its lowest form.
The greatest common divisor (GCD) of 18698 and 732 is 2.
Dividing both numerator and denominator by the GCD, we get 9349366.

Step 6: Convert to Mixed Number

The fraction 9349366 can be written as the mixed number 25199366.

Final Answer

The result of 8/183 added to 102/4 is:

8183+1024=25199366

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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