181/15 added to 48/2 in Fraction Form

The result of 181/15 added to 48/2 is: 36 1/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18115 and 482.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18115 to 36230
Convert 482 to 72030

Step 4: Add the Numerators

Add the numerators: 362 + 720 = 1082

Step 5: Simplify the Fraction

We can simplify 108230 to its lowest form.
The greatest common divisor (GCD) of 1082 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 54115.

Step 6: Convert to Mixed Number

The fraction 54115 can be written as the mixed number 36115.

Final Answer

The result of 181/15 added to 48/2 is:

18115+482=36115

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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