17/83 added to 202/4 in Fraction Form

The result of 17/83 added to 202/4 is: 50 117/166

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1783 and 2024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1783 to 68332
Convert 2024 to 16766332

Step 4: Add the Numerators

Add the numerators: 68 + 16766 = 16834

Step 5: Simplify the Fraction

We can simplify 16834332 to its lowest form.
The greatest common divisor (GCD) of 16834 and 332 is 2.
Dividing both numerator and denominator by the GCD, we get 8417166.

Step 6: Convert to Mixed Number

The fraction 8417166 can be written as the mixed number 50117166.

Final Answer

The result of 17/83 added to 202/4 is:

1783+2024=50117166

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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