32/208 added to 67/3 in Fraction Form

The result of 32/208 added to 67/3 is: 22 19/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32208 and 673.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 208 and 3 is 624.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32208 to 96624
Convert 673 to 13936624

Step 4: Add the Numerators

Add the numerators: 96 + 13936 = 14032

Step 5: Simplify the Fraction

We can simplify 14032624 to its lowest form.
The greatest common divisor (GCD) of 14032 and 624 is 16.
Dividing both numerator and denominator by the GCD, we get 87739.

Step 6: Convert to Mixed Number

The fraction 87739 can be written as the mixed number 221939.

Final Answer

The result of 32/208 added to 67/3 is:

32208+673=221939

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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