10/228 added to 38/2 in Fraction Form

The result of 10/228 added to 38/2 is: 19 5/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10228 and 382.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 228 and 2 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10228 to 10228
Convert 382 to 4332228

Step 4: Add the Numerators

Add the numerators: 10 + 4332 = 4342

Step 5: Simplify the Fraction

We can simplify 4342228 to its lowest form.
The greatest common divisor (GCD) of 4342 and 228 is 2.
Dividing both numerator and denominator by the GCD, we get 2171114.

Step 6: Convert to Mixed Number

The fraction 2171114 can be written as the mixed number 195114.

Final Answer

The result of 10/228 added to 38/2 is:

10228+382=195114

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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