18/232 added to 59/4 in Fraction Form

The result of 18/232 added to 59/4 is: 14 24/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18232 and 594.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 232 and 4 is 232.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18232 to 18232
Convert 594 to 3422232

Step 4: Add the Numerators

Add the numerators: 18 + 3422 = 3440

Step 5: Simplify the Fraction

We can simplify 3440232 to its lowest form.
The greatest common divisor (GCD) of 3440 and 232 is 8.
Dividing both numerator and denominator by the GCD, we get 43029.

Step 6: Convert to Mixed Number

The fraction 43029 can be written as the mixed number 142429.

Final Answer

The result of 18/232 added to 59/4 is:

18232+594=142429

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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