146/127 added to 14/6 in Fraction Form

The result of 146/127 added to 14/6 is: 3 184/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 146127 and 146.

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 146127 to 876762
Convert 146 to 1778762

Step 4: Add the Numerators

Add the numerators: 876 + 1778 = 2654

Step 5: Simplify the Fraction

We can simplify 2654762 to its lowest form.
The greatest common divisor (GCD) of 2654 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 1327381.

Step 6: Convert to Mixed Number

The fraction 1327381 can be written as the mixed number 3184381.

Final Answer

The result of 146/127 added to 14/6 is:

146127+146=3184381

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: