127/80 added to 81/6 in Fraction Form

The result of 127/80 added to 81/6 is: 15 7/80

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12780 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 80 and 6 is 240.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12780 to 381240
Convert 816 to 3240240

Step 4: Add the Numerators

Add the numerators: 381 + 3240 = 3621

Step 5: Simplify the Fraction

We can simplify 3621240 to its lowest form.
The greatest common divisor (GCD) of 3621 and 240 is 3.
Dividing both numerator and denominator by the GCD, we get 120780.

Step 6: Convert to Mixed Number

The fraction 120780 can be written as the mixed number 15780.

Final Answer

The result of 127/80 added to 81/6 is:

12780+816=15780

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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