233/13 added to 18/4 in Fraction Form

The result of 233/13 added to 18/4 is: 22 11/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23313 and 184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23313 to 93252
Convert 184 to 23452

Step 4: Add the Numerators

Add the numerators: 932 + 234 = 1166

Step 5: Simplify the Fraction

We can simplify 116652 to its lowest form.
The greatest common divisor (GCD) of 1166 and 52 is 2.
Dividing both numerator and denominator by the GCD, we get 58326.

Step 6: Convert to Mixed Number

The fraction 58326 can be written as the mixed number 221126.

Final Answer

The result of 233/13 added to 18/4 is:

23313+184=221126

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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