9/177 added to 82/2 in Fraction Form

The result of 9/177 added to 82/2 is: 41 3/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 9177 and 822.

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 9177 to 18354
Convert 822 to 14514354

Step 4: Add the Numerators

Add the numerators: 18 + 14514 = 14532

Step 5: Simplify the Fraction

We can simplify 14532354 to its lowest form.
The greatest common divisor (GCD) of 14532 and 354 is 6.
Dividing both numerator and denominator by the GCD, we get 242259.

Step 6: Convert to Mixed Number

The fraction 242259 can be written as the mixed number 41359.

Final Answer

The result of 9/177 added to 82/2 is:

9177+822=41359

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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