2/160 added to 83/2 in Fraction Form

The result of 2/160 added to 83/2 is: 41 41/80

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2160 and 832.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 160 and 2 is 160.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2160 to 2160
Convert 832 to 6640160

Step 4: Add the Numerators

Add the numerators: 2 + 6640 = 6642

Step 5: Simplify the Fraction

We can simplify 6642160 to its lowest form.
The greatest common divisor (GCD) of 6642 and 160 is 2.
Dividing both numerator and denominator by the GCD, we get 332180.

Step 6: Convert to Mixed Number

The fraction 332180 can be written as the mixed number 414180.

Final Answer

The result of 2/160 added to 83/2 is:

2160+832=414180

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).

Fraction Calculator

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