20/235 added to 20/2 in Fraction Form

The result of 20/235 added to 20/2 is: 10 4/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20235 and 202.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 2 is 470.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20235 to 40470
Convert 202 to 4700470

Step 4: Add the Numerators

Add the numerators: 40 + 4700 = 4740

Step 5: Simplify the Fraction

We can simplify 4740470 to its lowest form.
The greatest common divisor (GCD) of 4740 and 470 is 10.
Dividing both numerator and denominator by the GCD, we get 47447.

Step 6: Convert to Mixed Number

The fraction 47447 can be written as the mixed number 10447.

Final Answer

The result of 20/235 added to 20/2 is:

20235+202=10447

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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