127/130 added to 67/6 in Fraction Form

The result of 127/130 added to 67/6 is: 12 28/195

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127130 and 676.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 130 and 6 is 390.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127130 to 381390
Convert 676 to 4355390

Step 4: Add the Numerators

Add the numerators: 381 + 4355 = 4736

Step 5: Simplify the Fraction

We can simplify 4736390 to its lowest form.
The greatest common divisor (GCD) of 4736 and 390 is 2.
Dividing both numerator and denominator by the GCD, we get 2368195.

Step 6: Convert to Mixed Number

The fraction 2368195 can be written as the mixed number 1228195.

Final Answer

The result of 127/130 added to 67/6 is:

127130+676=1228195

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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