127/102 added to 94/4 in Fraction Form

The result of 127/102 added to 94/4 is: 24 38/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127102 and 944.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127102 to 254204
Convert 944 to 4794204

Step 4: Add the Numerators

Add the numerators: 254 + 4794 = 5048

Step 5: Simplify the Fraction

We can simplify 5048204 to its lowest form.
The greatest common divisor (GCD) of 5048 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get 126251.

Step 6: Convert to Mixed Number

The fraction 126251 can be written as the mixed number 243851.

Final Answer

The result of 127/102 added to 94/4 is:

127102+944=243851

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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