127/177 added to 36/2 in Fraction Form

The result of 127/177 added to 36/2 is: 18 127/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127177 and 362.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 2 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127177 to 254354
Convert 362 to 6372354

Step 4: Add the Numerators

Add the numerators: 254 + 6372 = 6626

Step 5: Simplify the Fraction

We can simplify 6626354 to its lowest form.
The greatest common divisor (GCD) of 6626 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 3313177.

Step 6: Convert to Mixed Number

The fraction 3313177 can be written as the mixed number 18127177.

Final Answer

The result of 127/177 added to 36/2 is:

127177+362=18127177

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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