2/132 added to 166/2 in Fraction Form

The result of 2/132 added to 166/2 is: 83 1/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2132 and 1662.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 132 and 2 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2132 to 2132
Convert 1662 to 10956132

Step 4: Add the Numerators

Add the numerators: 2 + 10956 = 10958

Step 5: Simplify the Fraction

We can simplify 10958132 to its lowest form.
The greatest common divisor (GCD) of 10958 and 132 is 2.
Dividing both numerator and denominator by the GCD, we get 547966.

Step 6: Convert to Mixed Number

The fraction 547966 can be written as the mixed number 83166.

Final Answer

The result of 2/132 added to 166/2 is:

2132+1662=83166

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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