27/222 added to 30/2 in Fraction Form

The result of 27/222 added to 30/2 is: 15 9/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27222 and 302.

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 27222 to 27222
Convert 302 to 3330222

Step 4: Add the Numerators

Add the numerators: 27 + 3330 = 3357

Step 5: Simplify the Fraction

We can simplify 3357222 to its lowest form.
The greatest common divisor (GCD) of 3357 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get 111974.

Step 6: Convert to Mixed Number

The fraction 111974 can be written as the mixed number 15974.

Final Answer

The result of 27/222 added to 30/2 is:

27222+302=15974

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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