8/34 added to 82/2 in Fraction Form

The result of 8/34 added to 82/2 is: 41 4/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 834 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 2 is 34.

Step 3: Convert Fractions to Equivalent Fractions

Convert 834 to 834
Convert 822 to 139434

Step 4: Add the Numerators

Add the numerators: 8 + 1394 = 1402

Step 5: Simplify the Fraction

We can simplify 140234 to its lowest form.
The greatest common divisor (GCD) of 1402 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 70117.

Step 6: Convert to Mixed Number

The fraction 70117 can be written as the mixed number 41417.

Final Answer

The result of 8/34 added to 82/2 is:

834+822=41417

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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