17/253 added to 21/3 in Fraction Form

The result of 17/253 added to 21/3 is: 7 17/253

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17253 and 213.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 253 and 3 is 759.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17253 to 51759
Convert 213 to 5313759

Step 4: Add the Numerators

Add the numerators: 51 + 5313 = 5364

Step 5: Simplify the Fraction

We can simplify 5364759 to its lowest form.
The greatest common divisor (GCD) of 5364 and 759 is 3.
Dividing both numerator and denominator by the GCD, we get 1788253.

Step 6: Convert to Mixed Number

The fraction 1788253 can be written as the mixed number 717253.

Final Answer

The result of 17/253 added to 21/3 is:

17253+213=717253

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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