210/13 added to 36/2 in Fraction Form

The result of 210/13 added to 36/2 is: 34 2/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21013 and 362.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21013 to 42026
Convert 362 to 46826

Step 4: Add the Numerators

Add the numerators: 420 + 468 = 888

Step 5: Simplify the Fraction

We can simplify 88826 to its lowest form.
The greatest common divisor (GCD) of 888 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 44413.

Step 6: Convert to Mixed Number

The fraction 44413 can be written as the mixed number 34213.

Final Answer

The result of 210/13 added to 36/2 is:

21013+362=34213

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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