118/161 added to 8/2 in Fraction Form

The result of 118/161 added to 8/2 is: 4 118/161

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118161 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 161 and 2 is 322.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118161 to 236322
Convert 82 to 1288322

Step 4: Add the Numerators

Add the numerators: 236 + 1288 = 1524

Step 5: Simplify the Fraction

We can simplify 1524322 to its lowest form.
The greatest common divisor (GCD) of 1524 and 322 is 2.
Dividing both numerator and denominator by the GCD, we get 762161.

Step 6: Convert to Mixed Number

The fraction 762161 can be written as the mixed number 4118161.

Final Answer

The result of 118/161 added to 8/2 is:

118161+82=4118161

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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