202/41 added to 24/2 in Fraction Form

The result of 202/41 added to 24/2 is: 16 38/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20241 and 242.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 2 is 82.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20241 to 40482
Convert 242 to 98482

Step 4: Add the Numerators

Add the numerators: 404 + 984 = 1388

Step 5: Simplify the Fraction

We can simplify 138882 to its lowest form.
The greatest common divisor (GCD) of 1388 and 82 is 2.
Dividing both numerator and denominator by the GCD, we get 69441.

Step 6: Convert to Mixed Number

The fraction 69441 can be written as the mixed number 163841.

Final Answer

The result of 202/41 added to 24/2 is:

20241+242=163841

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

Calculate operations between any two fractions: