76/201 added to 8/3 in Fraction Form

The result of 76/201 added to 8/3 is: 3 3/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 76201 and 83.

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 76201 to 76201
Convert 83 to 536201

Step 4: Add the Numerators

Add the numerators: 76 + 536 = 612

Step 5: Simplify the Fraction

We can simplify 612201 to its lowest form.
The greatest common divisor (GCD) of 612 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 20467.

Step 6: Convert to Mixed Number

The fraction 20467 can be written as the mixed number 3367.

Final Answer

The result of 76/201 added to 8/3 is:

76201+83=3367

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).

Fraction Calculator

Calculate operations between any two fractions: