20/241 added to 34/2 in Fraction Form

The result of 20/241 added to 34/2 is: 17 20/241

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20241 and 342.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 241 and 2 is 482.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20241 to 40482
Convert 342 to 8194482

Step 4: Add the Numerators

Add the numerators: 40 + 8194 = 8234

Step 5: Simplify the Fraction

We can simplify 8234482 to its lowest form.
The greatest common divisor (GCD) of 8234 and 482 is 2.
Dividing both numerator and denominator by the GCD, we get 4117241.

Step 6: Convert to Mixed Number

The fraction 4117241 can be written as the mixed number 1720241.

Final Answer

The result of 20/241 added to 34/2 is:

20241+342=1720241

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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