41/15 added to 202/2 in Fraction Form

The result of 41/15 added to 202/2 is: 103 11/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4115 and 2022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4115 to 8230
Convert 2022 to 303030

Step 4: Add the Numerators

Add the numerators: 82 + 3030 = 3112

Step 5: Simplify the Fraction

We can simplify 311230 to its lowest form.
The greatest common divisor (GCD) of 3112 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 155615.

Step 6: Convert to Mixed Number

The fraction 155615 can be written as the mixed number 1031115.

Final Answer

The result of 41/15 added to 202/2 is:

4115+2022=1031115

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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