44/127 added to 146/6 in Fraction Form

The result of 44/127 added to 146/6 is: 24 259/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 44127 and 1466.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 44127 to 264762
Convert 1466 to 18542762

Step 4: Add the Numerators

Add the numerators: 264 + 18542 = 18806

Step 5: Simplify the Fraction

We can simplify 18806762 to its lowest form.
The greatest common divisor (GCD) of 18806 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 9403381.

Step 6: Convert to Mixed Number

The fraction 9403381 can be written as the mixed number 24259381.

Final Answer

The result of 44/127 added to 146/6 is:

44127+1466=24259381

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: