211/21 added to 2/3 in Fraction Form

The result of 211/21 added to 2/3 is: 10 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21121 and 23.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21121 to 21121
Convert 23 to 1421

Step 4: Add the Numerators

Add the numerators: 211 + 14 = 225

Step 5: Simplify the Fraction

We can simplify 22521 to its lowest form.
The greatest common divisor (GCD) of 225 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 757.

Step 6: Convert to Mixed Number

The fraction 757 can be written as the mixed number 1057.

Final Answer

The result of 211/21 added to 2/3 is:

21121+23=1057

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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