38/259 added to 8/4 in Fraction Form

The result of 38/259 added to 8/4 is: 2 38/259

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38259 and 84.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 259 and 4 is 1036.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38259 to 1521036
Convert 84 to 20721036

Step 4: Add the Numerators

Add the numerators: 152 + 2072 = 2224

Step 5: Simplify the Fraction

We can simplify 22241036 to its lowest form.
The greatest common divisor (GCD) of 2224 and 1036 is 4.
Dividing both numerator and denominator by the GCD, we get 556259.

Step 6: Convert to Mixed Number

The fraction 556259 can be written as the mixed number 238259.

Final Answer

The result of 38/259 added to 8/4 is:

38259+84=238259

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).

Fraction Calculator

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