20/41 added to 74/2 in Fraction Form

The result of 20/41 added to 74/2 is: 37 20/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2041 and 742.

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 2041 to 4082
Convert 742 to 303482

Step 4: Add the Numerators

Add the numerators: 40 + 3034 = 3074

Step 5: Simplify the Fraction

We can simplify 307482 to its lowest form.
The greatest common divisor (GCD) of 3074 and 82 is 2.
Dividing both numerator and denominator by the GCD, we get 153741.

Step 6: Convert to Mixed Number

The fraction 153741 can be written as the mixed number 372041.

Final Answer

The result of 20/41 added to 74/2 is:

2041+742=372041

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: