23/118 added to 122/4 in Fraction Form

The result of 23/118 added to 122/4 is: 30 41/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23118 and 1224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23118 to 46236
Convert 1224 to 7198236

Step 4: Add the Numerators

Add the numerators: 46 + 7198 = 7244

Step 5: Simplify the Fraction

We can simplify 7244236 to its lowest form.
The greatest common divisor (GCD) of 7244 and 236 is 4.
Dividing both numerator and denominator by the GCD, we get 181159.

Step 6: Convert to Mixed Number

The fraction 181159 can be written as the mixed number 304159.

Final Answer

The result of 23/118 added to 122/4 is:

23118+1224=304159

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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