2/145 added to 82/2 in Fraction Form

The result of 2/145 added to 82/2 is: 41 2/145

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2145 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 145 and 2 is 290.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2145 to 4290
Convert 822 to 11890290

Step 4: Add the Numerators

Add the numerators: 4 + 11890 = 11894

Step 5: Simplify the Fraction

We can simplify 11894290 to its lowest form.
The greatest common divisor (GCD) of 11894 and 290 is 2.
Dividing both numerator and denominator by the GCD, we get 5947145.

Step 6: Convert to Mixed Number

The fraction 5947145 can be written as the mixed number 412145.

Final Answer

The result of 2/145 added to 82/2 is:

2145+822=412145

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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