202/27 added to 40/4 in Fraction Form

The result of 202/27 added to 40/4 is: 17 13/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20227 and 404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 4 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20227 to 808108
Convert 404 to 1080108

Step 4: Add the Numerators

Add the numerators: 808 + 1080 = 1888

Step 5: Simplify the Fraction

We can simplify 1888108 to its lowest form.
The greatest common divisor (GCD) of 1888 and 108 is 4.
Dividing both numerator and denominator by the GCD, we get 47227.

Step 6: Convert to Mixed Number

The fraction 47227 can be written as the mixed number 171327.

Final Answer

The result of 202/27 added to 40/4 is:

20227+404=171327

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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