67/166 added to 53/6 in Fraction Form

The result of 67/166 added to 53/6 is: 9 59/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67166 and 536.

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 67166 to 201498
Convert 536 to 4399498

Step 4: Add the Numerators

Add the numerators: 201 + 4399 = 4600

Step 5: Simplify the Fraction

We can simplify 4600498 to its lowest form.
The greatest common divisor (GCD) of 4600 and 498 is 2.
Dividing both numerator and denominator by the GCD, we get 2300249.

Step 6: Convert to Mixed Number

The fraction 2300249 can be written as the mixed number 959249.

Final Answer

The result of 67/166 added to 53/6 is:

67166+536=959249

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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