178/127 added to 8/6 in Fraction Form

The result of 178/127 added to 8/6 is: 2 280/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 178127 and 86.

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 178127 to 1068762
Convert 86 to 1016762

Step 4: Add the Numerators

Add the numerators: 1068 + 1016 = 2084

Step 5: Simplify the Fraction

We can simplify 2084762 to its lowest form.
The greatest common divisor (GCD) of 2084 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 1042381.

Step 6: Convert to Mixed Number

The fraction 1042381 can be written as the mixed number 2280381.

Final Answer

The result of 178/127 added to 8/6 is:

178127+86=2280381

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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