17/235 added to 8/2 in Fraction Form

The result of 17/235 added to 8/2 is: 4 17/235

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17235 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 2 is 470.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17235 to 34470
Convert 82 to 1880470

Step 4: Add the Numerators

Add the numerators: 34 + 1880 = 1914

Step 5: Simplify the Fraction

We can simplify 1914470 to its lowest form.
The greatest common divisor (GCD) of 1914 and 470 is 2.
Dividing both numerator and denominator by the GCD, we get 957235.

Step 6: Convert to Mixed Number

The fraction 957235 can be written as the mixed number 417235.

Final Answer

The result of 17/235 added to 8/2 is:

17235+82=417235

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).

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