191/15 added to 82/4 in Fraction Form

The result of 191/15 added to 82/4 is: 33 7/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19115 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19115 to 76460
Convert 824 to 123060

Step 4: Add the Numerators

Add the numerators: 764 + 1230 = 1994

Step 5: Simplify the Fraction

We can simplify 199460 to its lowest form.
The greatest common divisor (GCD) of 1994 and 60 is 2.
Dividing both numerator and denominator by the GCD, we get 99730.

Step 6: Convert to Mixed Number

The fraction 99730 can be written as the mixed number 33730.

Final Answer

The result of 191/15 added to 82/4 is:

19115+824=33730

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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