127/33 added to 98/4 in Fraction Form

The result of 127/33 added to 98/4 is: 28 23/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12733 and 984.

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 984 to 3234132

Step 4: Add the Numerators

Add the numerators: 508 + 3234 = 3742

Step 5: Simplify the Fraction

We can simplify 3742132 to its lowest form.
The greatest common divisor (GCD) of 3742 and 132 is 2.
Dividing both numerator and denominator by the GCD, we get 187166.

Step 6: Convert to Mixed Number

The fraction 187166 can be written as the mixed number 282366.

Final Answer

The result of 127/33 added to 98/4 is:

12733+984=282366

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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