19/201 added to 71/3 in Fraction Form

The result of 19/201 added to 71/3 is: 23 51/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19201 and 713.

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 19201 to 19201
Convert 713 to 4757201

Step 4: Add the Numerators

Add the numerators: 19 + 4757 = 4776

Step 5: Simplify the Fraction

We can simplify 4776201 to its lowest form.
The greatest common divisor (GCD) of 4776 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 159267.

Step 6: Convert to Mixed Number

The fraction 159267 can be written as the mixed number 235167.

Final Answer

The result of 19/201 added to 71/3 is:

19201+713=235167

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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