26/146 added to 26/6 in Fraction Form

The result of 26/146 added to 26/6 is: 4 112/219

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26146 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 6 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26146 to 78438
Convert 266 to 1898438

Step 4: Add the Numerators

Add the numerators: 78 + 1898 = 1976

Step 5: Simplify the Fraction

We can simplify 1976438 to its lowest form.
The greatest common divisor (GCD) of 1976 and 438 is 2.
Dividing both numerator and denominator by the GCD, we get 988219.

Step 6: Convert to Mixed Number

The fraction 988219 can be written as the mixed number 4112219.

Final Answer

The result of 26/146 added to 26/6 is:

26146+266=4112219

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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