2/83 added to 176/2 in Fraction Form

The result of 2/83 added to 176/2 is: 88 2/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 283 and 1762.

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 283 to 4166
Convert 1762 to 14608166

Step 4: Add the Numerators

Add the numerators: 4 + 14608 = 14612

Step 5: Simplify the Fraction

We can simplify 14612166 to its lowest form.
The greatest common divisor (GCD) of 14612 and 166 is 2.
Dividing both numerator and denominator by the GCD, we get 730683.

Step 6: Convert to Mixed Number

The fraction 730683 can be written as the mixed number 88283.

Final Answer

The result of 2/83 added to 176/2 is:

283+1762=88283

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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