38/206 added to 67/3 in Fraction Form

The result of 38/206 added to 67/3 is: 22 160/309

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38206 and 673.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 206 and 3 is 618.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38206 to 114618
Convert 673 to 13802618

Step 4: Add the Numerators

Add the numerators: 114 + 13802 = 13916

Step 5: Simplify the Fraction

We can simplify 13916618 to its lowest form.
The greatest common divisor (GCD) of 13916 and 618 is 2.
Dividing both numerator and denominator by the GCD, we get 6958309.

Step 6: Convert to Mixed Number

The fraction 6958309 can be written as the mixed number 22160309.

Final Answer

The result of 38/206 added to 67/3 is:

38206+673=22160309

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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