17/83 added to 28/2 in Fraction Form

The result of 17/83 added to 28/2 is: 14 17/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1783 and 282.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 2 is 166.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1783 to 34166
Convert 282 to 2324166

Step 4: Add the Numerators

Add the numerators: 34 + 2324 = 2358

Step 5: Simplify the Fraction

We can simplify 2358166 to its lowest form.
The greatest common divisor (GCD) of 2358 and 166 is 2.
Dividing both numerator and denominator by the GCD, we get 117983.

Step 6: Convert to Mixed Number

The fraction 117983 can be written as the mixed number 141783.

Final Answer

The result of 17/83 added to 28/2 is:

1783+282=141783

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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