213/87 added to 18/2 in Fraction Form

The result of 213/87 added to 18/2 is: 11 13/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21387 and 182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 2 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21387 to 426174
Convert 182 to 1566174

Step 4: Add the Numerators

Add the numerators: 426 + 1566 = 1992

Step 5: Simplify the Fraction

We can simplify 1992174 to its lowest form.
The greatest common divisor (GCD) of 1992 and 174 is 6.
Dividing both numerator and denominator by the GCD, we get 33229.

Step 6: Convert to Mixed Number

The fraction 33229 can be written as the mixed number 111329.

Final Answer

The result of 213/87 added to 18/2 is:

21387+182=111329

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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