64/11 added to 210/2 in Fraction Form

The result of 64/11 added to 210/2 is: 110 9/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6411 and 2102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6411 to 12822
Convert 2102 to 231022

Step 4: Add the Numerators

Add the numerators: 128 + 2310 = 2438

Step 5: Simplify the Fraction

We can simplify 243822 to its lowest form.
The greatest common divisor (GCD) of 2438 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 121911.

Step 6: Convert to Mixed Number

The fraction 121911 can be written as the mixed number 110911.

Final Answer

The result of 64/11 added to 210/2 is:

6411+2102=110911

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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