127/41 added to 104/6 in Fraction Form

The result of 127/41 added to 104/6 is: 20 53/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12741 and 1046.

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 12741 to 762246
Convert 1046 to 4264246

Step 4: Add the Numerators

Add the numerators: 762 + 4264 = 5026

Step 5: Simplify the Fraction

We can simplify 5026246 to its lowest form.
The greatest common divisor (GCD) of 5026 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 2513123.

Step 6: Convert to Mixed Number

The fraction 2513123 can be written as the mixed number 2053123.

Final Answer

The result of 127/41 added to 104/6 is:

12741+1046=2053123

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).

Fraction Calculator

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