205/5 added to 85/2 in Fraction Form

The result of 205/5 added to 85/2 is: 83 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2055 and 852.

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 2055 to 41010
Convert 852 to 42510

Step 4: Add the Numerators

Add the numerators: 410 + 425 = 835

Step 5: Simplify the Fraction

We can simplify 83510 to its lowest form.
The greatest common divisor (GCD) of 835 and 10 is 5.
Dividing both numerator and denominator by the GCD, we get 1672.

Step 6: Convert to Mixed Number

The fraction 1672 can be written as the mixed number 8312.

Final Answer

The result of 205/5 added to 85/2 is:

2055+852=8312

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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