83/103 added to 135/3 in Fraction Form

The result of 83/103 added to 135/3 is: 45 83/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83103 and 1353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 103 and 3 is 309.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83103 to 249309
Convert 1353 to 13905309

Step 4: Add the Numerators

Add the numerators: 249 + 13905 = 14154

Step 5: Simplify the Fraction

We can simplify 14154309 to its lowest form.
The greatest common divisor (GCD) of 14154 and 309 is 3.
Dividing both numerator and denominator by the GCD, we get 4718103.

Step 6: Convert to Mixed Number

The fraction 4718103 can be written as the mixed number 4583103.

Final Answer

The result of 83/103 added to 135/3 is:

83103+1353=4583103

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: