127/23 added to 120/6 in Fraction Form

The result of 127/23 added to 120/6 is: 25 12/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12723 and 1206.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 6 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12723 to 762138
Convert 1206 to 2760138

Step 4: Add the Numerators

Add the numerators: 762 + 2760 = 3522

Step 5: Simplify the Fraction

We can simplify 3522138 to its lowest form.
The greatest common divisor (GCD) of 3522 and 138 is 6.
Dividing both numerator and denominator by the GCD, we get 58723.

Step 6: Convert to Mixed Number

The fraction 58723 can be written as the mixed number 251223.

Final Answer

The result of 127/23 added to 120/6 is:

12723+1206=251223

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).

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