127/124 added to 39/6 in Fraction Form

The result of 127/124 added to 39/6 is: 7 65/124

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127124 and 396.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 124 and 6 is 372.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127124 to 381372
Convert 396 to 2418372

Step 4: Add the Numerators

Add the numerators: 381 + 2418 = 2799

Step 5: Simplify the Fraction

We can simplify 2799372 to its lowest form.
The greatest common divisor (GCD) of 2799 and 372 is 3.
Dividing both numerator and denominator by the GCD, we get 933124.

Step 6: Convert to Mixed Number

The fraction 933124 can be written as the mixed number 765124.

Final Answer

The result of 127/124 added to 39/6 is:

127124+396=765124

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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