12/154 added to 82/6 in Fraction Form

The result of 12/154 added to 82/6 is: 13 172/231

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12154 and 826.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 6 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12154 to 36462
Convert 826 to 6314462

Step 4: Add the Numerators

Add the numerators: 36 + 6314 = 6350

Step 5: Simplify the Fraction

We can simplify 6350462 to its lowest form.
The greatest common divisor (GCD) of 6350 and 462 is 2.
Dividing both numerator and denominator by the GCD, we get 3175231.

Step 6: Convert to Mixed Number

The fraction 3175231 can be written as the mixed number 13172231.

Final Answer

The result of 12/154 added to 82/6 is:

12154+826=13172231

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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