38/66 added to 8/4 in Fraction Form

The result of 38/66 added to 8/4 is: 2 19/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3866 and 84.

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 84 to 264132

Step 4: Add the Numerators

Add the numerators: 76 + 264 = 340

Step 5: Simplify the Fraction

We can simplify 340132 to its lowest form.
The greatest common divisor (GCD) of 340 and 132 is 4.
Dividing both numerator and denominator by the GCD, we get 8533.

Step 6: Convert to Mixed Number

The fraction 8533 can be written as the mixed number 21933.

Final Answer

The result of 38/66 added to 8/4 is:

3866+84=21933

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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