38/241 added to 24/4 in Fraction Form

The result of 38/241 added to 24/4 is: 6 38/241

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38241 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 241 and 4 is 964.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38241 to 152964
Convert 244 to 5784964

Step 4: Add the Numerators

Add the numerators: 152 + 5784 = 5936

Step 5: Simplify the Fraction

We can simplify 5936964 to its lowest form.
The greatest common divisor (GCD) of 5936 and 964 is 4.
Dividing both numerator and denominator by the GCD, we get 1484241.

Step 6: Convert to Mixed Number

The fraction 1484241 can be written as the mixed number 638241.

Final Answer

The result of 38/241 added to 24/4 is:

38241+244=638241

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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