11/41 added to 4/6 in Fraction Form

The result of 11/41 added to 4/6 is: 115/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1141 and 46.

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 1141 to 66246
Convert 46 to 164246

Step 4: Add the Numerators

Add the numerators: 66 + 164 = 230

Step 5: Simplify the Fraction

We can simplify 230246 to its lowest form.
The greatest common divisor (GCD) of 230 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 115123.

Final Answer

The result of 11/41 added to 4/6 is:

1141+46=115123

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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