182/102 added to 38/4 in Fraction Form

The result of 182/102 added to 38/4 is: 11 29/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 182102 and 384.

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 182102 to 364204
Convert 384 to 1938204

Step 4: Add the Numerators

Add the numerators: 364 + 1938 = 2302

Step 5: Simplify the Fraction

We can simplify 2302204 to its lowest form.
The greatest common divisor (GCD) of 2302 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 1151102.

Step 6: Convert to Mixed Number

The fraction 1151102 can be written as the mixed number 1129102.

Final Answer

The result of 182/102 added to 38/4 is:

182102+384=1129102

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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