181/7 added to 82/2 in Fraction Form

The result of 181/7 added to 82/2 is: 66 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1817 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1817 to 36214
Convert 822 to 57414

Step 4: Add the Numerators

Add the numerators: 362 + 574 = 936

Step 5: Simplify the Fraction

We can simplify 93614 to its lowest form.
The greatest common divisor (GCD) of 936 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 4687.

Step 6: Convert to Mixed Number

The fraction 4687 can be written as the mixed number 6667.

Final Answer

The result of 181/7 added to 82/2 is:

1817+822=6667

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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