2/86 added to 212/3 in Fraction Form

The result of 2/86 added to 212/3 is: 70 89/129

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 286 and 2123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 86 and 3 is 258.

Step 3: Convert Fractions to Equivalent Fractions

Convert 286 to 6258
Convert 2123 to 18232258

Step 4: Add the Numerators

Add the numerators: 6 + 18232 = 18238

Step 5: Simplify the Fraction

We can simplify 18238258 to its lowest form.
The greatest common divisor (GCD) of 18238 and 258 is 2.
Dividing both numerator and denominator by the GCD, we get 9119129.

Step 6: Convert to Mixed Number

The fraction 9119129 can be written as the mixed number 7089129.

Final Answer

The result of 2/86 added to 212/3 is:

286+2123=7089129

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: