33/82 added to 202/4 in Fraction Form

The result of 33/82 added to 202/4 is: 50 37/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3382 and 2024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3382 to 66164
Convert 2024 to 8282164

Step 4: Add the Numerators

Add the numerators: 66 + 8282 = 8348

Step 5: Simplify the Fraction

We can simplify 8348164 to its lowest form.
The greatest common divisor (GCD) of 8348 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get 208741.

Step 6: Convert to Mixed Number

The fraction 208741 can be written as the mixed number 503741.

Final Answer

The result of 33/82 added to 202/4 is:

3382+2024=503741

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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