38/12 added to 102/4 in Fraction Form

The result of 38/12 added to 102/4 is: 28 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3812 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 4 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3812 to 3812
Convert 1024 to 30612

Step 4: Add the Numerators

Add the numerators: 38 + 306 = 344

Step 5: Simplify the Fraction

We can simplify 34412 to its lowest form.
The greatest common divisor (GCD) of 344 and 12 is 4.
Dividing both numerator and denominator by the GCD, we get 863.

Step 6: Convert to Mixed Number

The fraction 863 can be written as the mixed number 2823.

Final Answer

The result of 38/12 added to 102/4 is:

3812+1024=2823

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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