83/5 added to 208/2 in Fraction Form

The result of 83/5 added to 208/2 is: 120 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 835 and 2082.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert 835 to 16610
Convert 2082 to 104010

Step 4: Add the Numerators

Add the numerators: 166 + 1040 = 1206

Step 5: Simplify the Fraction

We can simplify 120610 to its lowest form.
The greatest common divisor (GCD) of 1206 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get 6035.

Step 6: Convert to Mixed Number

The fraction 6035 can be written as the mixed number 12035.

Final Answer

The result of 83/5 added to 208/2 is:

835+2082=12035

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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