11/177 added to 102/2 in Fraction Form

The result of 11/177 added to 102/2 is: 51 11/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11177 and 1022.

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 11177 to 22354
Convert 1022 to 18054354

Step 4: Add the Numerators

Add the numerators: 22 + 18054 = 18076

Step 5: Simplify the Fraction

We can simplify 18076354 to its lowest form.
The greatest common divisor (GCD) of 18076 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 9038177.

Step 6: Convert to Mixed Number

The fraction 9038177 can be written as the mixed number 5111177.

Final Answer

The result of 11/177 added to 102/2 is:

11177+1022=5111177

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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