76/73 added to 81/3 in Fraction Form

The result of 76/73 added to 81/3 is: 28 3/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7673 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 3 is 219.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7673 to 228219
Convert 813 to 5913219

Step 4: Add the Numerators

Add the numerators: 228 + 5913 = 6141

Step 5: Simplify the Fraction

We can simplify 6141219 to its lowest form.
The greatest common divisor (GCD) of 6141 and 219 is 3.
Dividing both numerator and denominator by the GCD, we get 204773.

Step 6: Convert to Mixed Number

The fraction 204773 can be written as the mixed number 28373.

Final Answer

The result of 76/73 added to 81/3 is:

7673+813=28373

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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