64/85 added to 8/6 in Fraction Form

The result of 64/85 added to 8/6 is: 2 22/255

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6485 and 86.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 6 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6485 to 384510
Convert 86 to 680510

Step 4: Add the Numerators

Add the numerators: 384 + 680 = 1064

Step 5: Simplify the Fraction

We can simplify 1064510 to its lowest form.
The greatest common divisor (GCD) of 1064 and 510 is 2.
Dividing both numerator and denominator by the GCD, we get 532255.

Step 6: Convert to Mixed Number

The fraction 532255 can be written as the mixed number 222255.

Final Answer

The result of 64/85 added to 8/6 is:

6485+86=222255

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: