38/16 added to 222/3 in Fraction Form

The result of 38/16 added to 222/3 is: 76 3/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3816 and 2223.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 3 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3816 to 11448
Convert 2223 to 355248

Step 4: Add the Numerators

Add the numerators: 114 + 3552 = 3666

Step 5: Simplify the Fraction

We can simplify 366648 to its lowest form.
The greatest common divisor (GCD) of 3666 and 48 is 6.
Dividing both numerator and denominator by the GCD, we get 6118.

Step 6: Convert to Mixed Number

The fraction 6118 can be written as the mixed number 7638.

Final Answer

The result of 38/16 added to 222/3 is:

3816+2223=7638

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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