202/23 added to 57/3 in Fraction Form

The result of 202/23 added to 57/3 is: 27 18/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20223 and 573.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 3 is 69.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20223 to 60669
Convert 573 to 131169

Step 4: Add the Numerators

Add the numerators: 606 + 1311 = 1917

Step 5: Simplify the Fraction

We can simplify 191769 to its lowest form.
The greatest common divisor (GCD) of 1917 and 69 is 3.
Dividing both numerator and denominator by the GCD, we get 63923.

Step 6: Convert to Mixed Number

The fraction 63923 can be written as the mixed number 271823.

Final Answer

The result of 202/23 added to 57/3 is:

20223+573=271823

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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