32/166 added to 16/4 in Fraction Form

The result of 32/166 added to 16/4 is: 4 16/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32166 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32166 to 64332
Convert 164 to 1328332

Step 4: Add the Numerators

Add the numerators: 64 + 1328 = 1392

Step 5: Simplify the Fraction

We can simplify 1392332 to its lowest form.
The greatest common divisor (GCD) of 1392 and 332 is 4.
Dividing both numerator and denominator by the GCD, we get 34883.

Step 6: Convert to Mixed Number

The fraction 34883 can be written as the mixed number 41683.

Final Answer

The result of 32/166 added to 16/4 is:

32166+164=41683

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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