20/41 added to 30/3 in Fraction Form

The result of 20/41 added to 30/3 is: 10 20/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2041 and 303.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2041 to 60123
Convert 303 to 1230123

Step 4: Add the Numerators

Add the numerators: 60 + 1230 = 1290

Step 5: Simplify the Fraction

We can simplify 1290123 to its lowest form.
The greatest common divisor (GCD) of 1290 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 43041.

Step 6: Convert to Mixed Number

The fraction 43041 can be written as the mixed number 102041.

Final Answer

The result of 20/41 added to 30/3 is:

2041+303=102041

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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