213/21 added to 51/3 in Fraction Form

The result of 213/21 added to 51/3 is: 27 1/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21321 and 513.

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 21321 to 21321
Convert 513 to 35721

Step 4: Add the Numerators

Add the numerators: 213 + 357 = 570

Step 5: Simplify the Fraction

We can simplify 57021 to its lowest form.
The greatest common divisor (GCD) of 570 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 1907.

Step 6: Convert to Mixed Number

The fraction 1907 can be written as the mixed number 2717.

Final Answer

The result of 213/21 added to 51/3 is:

21321+513=2717

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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