80/213 added to 17/3 in Fraction Form

The result of 80/213 added to 17/3 is: 6 3/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 80213 and 173.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 80213 to 80213
Convert 173 to 1207213

Step 4: Add the Numerators

Add the numerators: 80 + 1207 = 1287

Step 5: Simplify the Fraction

We can simplify 1287213 to its lowest form.
The greatest common divisor (GCD) of 1287 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 42971.

Step 6: Convert to Mixed Number

The fraction 42971 can be written as the mixed number 6371.

Final Answer

The result of 80/213 added to 17/3 is:

80213+173=6371

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

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