127/33 added to 144/4 in Fraction Form

The result of 127/33 added to 144/4 is: 39 28/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12733 and 1444.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 33 and 4 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12733 to 508132
Convert 1444 to 4752132

Step 4: Add the Numerators

Add the numerators: 508 + 4752 = 5260

Step 5: Simplify the Fraction

We can simplify 5260132 to its lowest form.
The greatest common divisor (GCD) of 5260 and 132 is 4.
Dividing both numerator and denominator by the GCD, we get 131533.

Step 6: Convert to Mixed Number

The fraction 131533 can be written as the mixed number 392833.

Final Answer

The result of 127/33 added to 144/4 is:

12733+1444=392833

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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