17/23 added to 18/4 in Fraction Form

The result of 17/23 added to 18/4 is: 5 11/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1723 and 184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 4 is 92.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1723 to 6892
Convert 184 to 41492

Step 4: Add the Numerators

Add the numerators: 68 + 414 = 482

Step 5: Simplify the Fraction

We can simplify 48292 to its lowest form.
The greatest common divisor (GCD) of 482 and 92 is 2.
Dividing both numerator and denominator by the GCD, we get 24146.

Step 6: Convert to Mixed Number

The fraction 24146 can be written as the mixed number 51146.

Final Answer

The result of 17/23 added to 18/4 is:

1723+184=51146

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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