202/41 added to 18/6 in Fraction Form

The result of 202/41 added to 18/6 is: 7 38/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20241 and 186.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 6 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20241 to 1212246
Convert 186 to 738246

Step 4: Add the Numerators

Add the numerators: 1212 + 738 = 1950

Step 5: Simplify the Fraction

We can simplify 1950246 to its lowest form.
The greatest common divisor (GCD) of 1950 and 246 is 6.
Dividing both numerator and denominator by the GCD, we get 32541.

Step 6: Convert to Mixed Number

The fraction 32541 can be written as the mixed number 73841.

Final Answer

The result of 202/41 added to 18/6 is:

20241+186=73841

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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