81/72 added to 139/2 in Fraction Form

The result of 81/72 added to 139/2 is: 70 5/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8172 and 1392.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 72 and 2 is 72.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8172 to 8172
Convert 1392 to 500472

Step 4: Add the Numerators

Add the numerators: 81 + 5004 = 5085

Step 5: Simplify the Fraction

We can simplify 508572 to its lowest form.
The greatest common divisor (GCD) of 5085 and 72 is 9.
Dividing both numerator and denominator by the GCD, we get 5658.

Step 6: Convert to Mixed Number

The fraction 5658 can be written as the mixed number 7058.

Final Answer

The result of 81/72 added to 139/2 is:

8172+1392=7058

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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