127/80 added to 102/6 in Fraction Form

The result of 127/80 added to 102/6 is: 18 47/80

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12780 and 1026.

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 1026 to 4080240

Step 4: Add the Numerators

Add the numerators: 381 + 4080 = 4461

Step 5: Simplify the Fraction

We can simplify 4461240 to its lowest form.
The greatest common divisor (GCD) of 4461 and 240 is 3.
Dividing both numerator and denominator by the GCD, we get 148780.

Step 6: Convert to Mixed Number

The fraction 148780 can be written as the mixed number 184780.

Final Answer

The result of 127/80 added to 102/6 is:

12780+1026=184780

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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