23/185 added to 96/2 in Fraction Form

The result of 23/185 added to 96/2 is: 48 23/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23185 and 962.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 2 is 370.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23185 to 46370
Convert 962 to 17760370

Step 4: Add the Numerators

Add the numerators: 46 + 17760 = 17806

Step 5: Simplify the Fraction

We can simplify 17806370 to its lowest form.
The greatest common divisor (GCD) of 17806 and 370 is 2.
Dividing both numerator and denominator by the GCD, we get 8903185.

Step 6: Convert to Mixed Number

The fraction 8903185 can be written as the mixed number 4823185.

Final Answer

The result of 23/185 added to 96/2 is:

23185+962=4823185

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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