82/71 added to 180/4 in Fraction Form

The result of 82/71 added to 180/4 is: 46 11/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8271 and 1804.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 4 is 284.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8271 to 328284
Convert 1804 to 12780284

Step 4: Add the Numerators

Add the numerators: 328 + 12780 = 13108

Step 5: Simplify the Fraction

We can simplify 13108284 to its lowest form.
The greatest common divisor (GCD) of 13108 and 284 is 4.
Dividing both numerator and denominator by the GCD, we get 327771.

Step 6: Convert to Mixed Number

The fraction 327771 can be written as the mixed number 461171.

Final Answer

The result of 82/71 added to 180/4 is:

8271+1804=461171

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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