10/85 added to 66/3 in Fraction Form

The result of 10/85 added to 66/3 is: 22 2/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1085 and 663.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 3 is 255.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1085 to 30255
Convert 663 to 5610255

Step 4: Add the Numerators

Add the numerators: 30 + 5610 = 5640

Step 5: Simplify the Fraction

We can simplify 5640255 to its lowest form.
The greatest common divisor (GCD) of 5640 and 255 is 15.
Dividing both numerator and denominator by the GCD, we get 37617.

Step 6: Convert to Mixed Number

The fraction 37617 can be written as the mixed number 22217.

Final Answer

The result of 10/85 added to 66/3 is:

1085+663=22217

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

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