184/23 added to 67/2 in Fraction Form

The result of 184/23 added to 67/2 is: 41 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18423 and 672.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 2 is 46.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18423 to 36846
Convert 672 to 154146

Step 4: Add the Numerators

Add the numerators: 368 + 1541 = 1909

Step 5: Simplify the Fraction

We can simplify 190946 to its lowest form.
The greatest common divisor (GCD) of 1909 and 46 is 23.
Dividing both numerator and denominator by the GCD, we get 832.

Step 6: Convert to Mixed Number

The fraction 832 can be written as the mixed number 4112.

Final Answer

The result of 184/23 added to 67/2 is:

18423+672=4112

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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