127/44 added to 84/6 in Fraction Form

The result of 127/44 added to 84/6 is: 16 39/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12744 and 846.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 44 and 6 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12744 to 381132
Convert 846 to 1848132

Step 4: Add the Numerators

Add the numerators: 381 + 1848 = 2229

Step 5: Simplify the Fraction

We can simplify 2229132 to its lowest form.
The greatest common divisor (GCD) of 2229 and 132 is 3.
Dividing both numerator and denominator by the GCD, we get 74344.

Step 6: Convert to Mixed Number

The fraction 74344 can be written as the mixed number 163944.

Final Answer

The result of 127/44 added to 84/6 is:

12744+846=163944

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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