13/166 added to 67/6 in Fraction Form

The result of 13/166 added to 67/6 is: 11 61/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13166 and 676.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 6 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13166 to 39498
Convert 676 to 5561498

Step 4: Add the Numerators

Add the numerators: 39 + 5561 = 5600

Step 5: Simplify the Fraction

We can simplify 5600498 to its lowest form.
The greatest common divisor (GCD) of 5600 and 498 is 2.
Dividing both numerator and denominator by the GCD, we get 2800249.

Step 6: Convert to Mixed Number

The fraction 2800249 can be written as the mixed number 1161249.

Final Answer

The result of 13/166 added to 67/6 is:

13166+676=1161249

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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