15/197 added to 48/3 in Fraction Form

The result of 15/197 added to 48/3 is: 16 15/197

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15197 and 483.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 197 and 3 is 591.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15197 to 45591
Convert 483 to 9456591

Step 4: Add the Numerators

Add the numerators: 45 + 9456 = 9501

Step 5: Simplify the Fraction

We can simplify 9501591 to its lowest form.
The greatest common divisor (GCD) of 9501 and 591 is 3.
Dividing both numerator and denominator by the GCD, we get 3167197.

Step 6: Convert to Mixed Number

The fraction 3167197 can be written as the mixed number 1615197.

Final Answer

The result of 15/197 added to 48/3 is:

15197+483=1615197

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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