165/127 added to 16/2 in Fraction Form

The result of 165/127 added to 16/2 is: 9 38/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 165127 and 162.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 165127 to 330254
Convert 162 to 2032254

Step 4: Add the Numerators

Add the numerators: 330 + 2032 = 2362

Step 5: Simplify the Fraction

We can simplify 2362254 to its lowest form.
The greatest common divisor (GCD) of 2362 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 1181127.

Step 6: Convert to Mixed Number

The fraction 1181127 can be written as the mixed number 938127.

Final Answer

The result of 165/127 added to 16/2 is:

165127+162=938127

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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