23/118 added to 185/2 in Fraction Form

The result of 23/118 added to 185/2 is: 92 41/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23118 and 1852.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 2 is 118.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23118 to 23118
Convert 1852 to 10915118

Step 4: Add the Numerators

Add the numerators: 23 + 10915 = 10938

Step 5: Simplify the Fraction

We can simplify 10938118 to its lowest form.
The greatest common divisor (GCD) of 10938 and 118 is 2.
Dividing both numerator and denominator by the GCD, we get 546959.

Step 6: Convert to Mixed Number

The fraction 546959 can be written as the mixed number 924159.

Final Answer

The result of 23/118 added to 185/2 is:

23118+1852=924159

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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