48/85 added to 16/2 in Fraction Form

The result of 48/85 added to 16/2 is: 8 48/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4885 and 162.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 2 is 170.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4885 to 96170
Convert 162 to 1360170

Step 4: Add the Numerators

Add the numerators: 96 + 1360 = 1456

Step 5: Simplify the Fraction

We can simplify 1456170 to its lowest form.
The greatest common divisor (GCD) of 1456 and 170 is 2.
Dividing both numerator and denominator by the GCD, we get 72885.

Step 6: Convert to Mixed Number

The fraction 72885 can be written as the mixed number 84885.

Final Answer

The result of 48/85 added to 16/2 is:

4885+162=84885

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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