82/155 added to 68/2 in Fraction Form

The result of 82/155 added to 68/2 is: 34 82/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82155 and 682.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 2 is 310.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82155 to 164310
Convert 682 to 10540310

Step 4: Add the Numerators

Add the numerators: 164 + 10540 = 10704

Step 5: Simplify the Fraction

We can simplify 10704310 to its lowest form.
The greatest common divisor (GCD) of 10704 and 310 is 2.
Dividing both numerator and denominator by the GCD, we get 5352155.

Step 6: Convert to Mixed Number

The fraction 5352155 can be written as the mixed number 3482155.

Final Answer

The result of 82/155 added to 68/2 is:

82155+682=3482155

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: