38/66 added to 16/4 in Fraction Form

The result of 38/66 added to 16/4 is: 4 19/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3866 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 66 and 4 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3866 to 76132
Convert 164 to 528132

Step 4: Add the Numerators

Add the numerators: 76 + 528 = 604

Step 5: Simplify the Fraction

We can simplify 604132 to its lowest form.
The greatest common divisor (GCD) of 604 and 132 is 4.
Dividing both numerator and denominator by the GCD, we get 15133.

Step 6: Convert to Mixed Number

The fraction 15133 can be written as the mixed number 41933.

Final Answer

The result of 38/66 added to 16/4 is:

3866+164=41933

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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