8/182 added to 86/3 in Fraction Form

The result of 8/182 added to 86/3 is: 28 194/273

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8182 and 863.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 3 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8182 to 24546
Convert 863 to 15652546

Step 4: Add the Numerators

Add the numerators: 24 + 15652 = 15676

Step 5: Simplify the Fraction

We can simplify 15676546 to its lowest form.
The greatest common divisor (GCD) of 15676 and 546 is 2.
Dividing both numerator and denominator by the GCD, we get 7838273.

Step 6: Convert to Mixed Number

The fraction 7838273 can be written as the mixed number 28194273.

Final Answer

The result of 8/182 added to 86/3 is:

8182+863=28194273

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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