38/13 added to 211/3 in Fraction Form

The result of 38/13 added to 211/3 is: 73 10/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3813 and 2113.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3813 to 11439
Convert 2113 to 274339

Step 4: Add the Numerators

Add the numerators: 114 + 2743 = 2857

Step 5: Convert to Mixed Number

The fraction 285739 can be written as the mixed number 731039.

Final Answer

The result of 38/13 added to 211/3 is:

3813+2113=731039

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

Calculate operations between any two fractions: