27/185 added to 80/2 in Fraction Form

The result of 27/185 added to 80/2 is: 40 27/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27185 and 802.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 2 is 370.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27185 to 54370
Convert 802 to 14800370

Step 4: Add the Numerators

Add the numerators: 54 + 14800 = 14854

Step 5: Simplify the Fraction

We can simplify 14854370 to its lowest form.
The greatest common divisor (GCD) of 14854 and 370 is 2.
Dividing both numerator and denominator by the GCD, we get 7427185.

Step 6: Convert to Mixed Number

The fraction 7427185 can be written as the mixed number 4027185.

Final Answer

The result of 27/185 added to 80/2 is:

27185+802=4027185

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

Calculate operations between any two fractions: