41/102 added to 28/4 in Fraction Form

The result of 41/102 added to 28/4 is: 7 41/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 41102 and 284.

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 41102 to 82204
Convert 284 to 1428204

Step 4: Add the Numerators

Add the numerators: 82 + 1428 = 1510

Step 5: Simplify the Fraction

We can simplify 1510204 to its lowest form.
The greatest common divisor (GCD) of 1510 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 755102.

Step 6: Convert to Mixed Number

The fraction 755102 can be written as the mixed number 741102.

Final Answer

The result of 41/102 added to 28/4 is:

41102+284=741102

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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