7/83 added to 213/3 in Fraction Form

The result of 7/83 added to 213/3 is: 71 7/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 783 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 3 is 249.

Step 3: Convert Fractions to Equivalent Fractions

Convert 783 to 21249
Convert 2133 to 17679249

Step 4: Add the Numerators

Add the numerators: 21 + 17679 = 17700

Step 5: Simplify the Fraction

We can simplify 17700249 to its lowest form.
The greatest common divisor (GCD) of 17700 and 249 is 3.
Dividing both numerator and denominator by the GCD, we get 590083.

Step 6: Convert to Mixed Number

The fraction 590083 can be written as the mixed number 71783.

Final Answer

The result of 7/83 added to 213/3 is:

783+2133=71783

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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