213/29 added to 18/3 in Fraction Form

The result of 213/29 added to 18/3 is: 13 10/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21329 and 183.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 29 and 3 is 87.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21329 to 63987
Convert 183 to 52287

Step 4: Add the Numerators

Add the numerators: 639 + 522 = 1161

Step 5: Simplify the Fraction

We can simplify 116187 to its lowest form.
The greatest common divisor (GCD) of 1161 and 87 is 3.
Dividing both numerator and denominator by the GCD, we get 38729.

Step 6: Convert to Mixed Number

The fraction 38729 can be written as the mixed number 131029.

Final Answer

The result of 213/29 added to 18/3 is:

21329+183=131029

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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