40/5 added to 184/2 in Fraction Form

The result of 40/5 added to 184/2 is: 100

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 405 and 1842.

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 405 to 8010
Convert 1842 to 92010

Step 4: Add the Numerators

Add the numerators: 80 + 920 = 1000

Step 5: Simplify the Fraction

We can simplify 100010 to its lowest form.
The greatest common divisor (GCD) of 1000 and 10 is 10.
Dividing both numerator and denominator by the GCD, we get 1001.

Final Answer

The result of 40/5 added to 184/2 is:

405+1842=100

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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