47/201 added to 19/3 in Fraction Form

The result of 47/201 added to 19/3 is: 6 38/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 47201 and 193.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 3 is 201.

Step 3: Convert Fractions to Equivalent Fractions

Convert 47201 to 47201
Convert 193 to 1273201

Step 4: Add the Numerators

Add the numerators: 47 + 1273 = 1320

Step 5: Simplify the Fraction

We can simplify 1320201 to its lowest form.
The greatest common divisor (GCD) of 1320 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 44067.

Step 6: Convert to Mixed Number

The fraction 44067 can be written as the mixed number 63867.

Final Answer

The result of 47/201 added to 19/3 is:

47201+193=63867

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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