81/222 added to 15/2 in Fraction Form

The result of 81/222 added to 15/2 is: 7 32/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81222 and 152.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 2 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81222 to 81222
Convert 152 to 1665222

Step 4: Add the Numerators

Add the numerators: 81 + 1665 = 1746

Step 5: Simplify the Fraction

We can simplify 1746222 to its lowest form.
The greatest common divisor (GCD) of 1746 and 222 is 6.
Dividing both numerator and denominator by the GCD, we get 29137.

Step 6: Convert to Mixed Number

The fraction 29137 can be written as the mixed number 73237.

Final Answer

The result of 81/222 added to 15/2 is:

81222+152=73237

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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