81/7 added to 180/2 in Fraction Form

The result of 81/7 added to 180/2 is: 101 4/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 817 and 1802.

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 817 to 16214
Convert 1802 to 126014

Step 4: Add the Numerators

Add the numerators: 162 + 1260 = 1422

Step 5: Simplify the Fraction

We can simplify 142214 to its lowest form.
The greatest common divisor (GCD) of 1422 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 7117.

Step 6: Convert to Mixed Number

The fraction 7117 can be written as the mixed number 10147.

Final Answer

The result of 81/7 added to 180/2 is:

817+1802=10147

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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