19/241 added to 12/4 in Fraction Form

The result of 19/241 added to 12/4 is: 3 19/241

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19241 and 124.

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 19241 to 76964
Convert 124 to 2892964

Step 4: Add the Numerators

Add the numerators: 76 + 2892 = 2968

Step 5: Simplify the Fraction

We can simplify 2968964 to its lowest form.
The greatest common divisor (GCD) of 2968 and 964 is 4.
Dividing both numerator and denominator by the GCD, we get 742241.

Step 6: Convert to Mixed Number

The fraction 742241 can be written as the mixed number 319241.

Final Answer

The result of 19/241 added to 12/4 is:

19241+124=319241

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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