48/13 added to 210/3 in Fraction Form

The result of 48/13 added to 210/3 is: 73 9/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4813 and 2103.

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 4813 to 14439
Convert 2103 to 273039

Step 4: Add the Numerators

Add the numerators: 144 + 2730 = 2874

Step 5: Simplify the Fraction

We can simplify 287439 to its lowest form.
The greatest common divisor (GCD) of 2874 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 95813.

Step 6: Convert to Mixed Number

The fraction 95813 can be written as the mixed number 73913.

Final Answer

The result of 48/13 added to 210/3 is:

4813+2103=73913

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: