24/258 added to 19/4 in Fraction Form

The result of 24/258 added to 19/4 is: 4 145/172

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24258 and 194.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 258 and 4 is 516.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24258 to 48516
Convert 194 to 2451516

Step 4: Add the Numerators

Add the numerators: 48 + 2451 = 2499

Step 5: Simplify the Fraction

We can simplify 2499516 to its lowest form.
The greatest common divisor (GCD) of 2499 and 516 is 3.
Dividing both numerator and denominator by the GCD, we get 833172.

Step 6: Convert to Mixed Number

The fraction 833172 can be written as the mixed number 4145172.

Final Answer

The result of 24/258 added to 19/4 is:

24258+194=4145172

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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