39/127 added to 117/6 in Fraction Form

The result of 39/127 added to 117/6 is: 19 205/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39127 and 1176.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 39127 to 234762
Convert 1176 to 14859762

Step 4: Add the Numerators

Add the numerators: 234 + 14859 = 15093

Step 5: Simplify the Fraction

We can simplify 15093762 to its lowest form.
The greatest common divisor (GCD) of 15093 and 762 is 3.
Dividing both numerator and denominator by the GCD, we get 5031254.

Step 6: Convert to Mixed Number

The fraction 5031254 can be written as the mixed number 19205254.

Final Answer

The result of 39/127 added to 117/6 is:

39127+1176=19205254

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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