18/55 added to 8/4 in Fraction Form

The result of 18/55 added to 8/4 is: 2 18/55

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1855 and 84.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 55 and 4 is 220.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1855 to 72220
Convert 84 to 440220

Step 4: Add the Numerators

Add the numerators: 72 + 440 = 512

Step 5: Simplify the Fraction

We can simplify 512220 to its lowest form.
The greatest common divisor (GCD) of 512 and 220 is 4.
Dividing both numerator and denominator by the GCD, we get 12855.

Step 6: Convert to Mixed Number

The fraction 12855 can be written as the mixed number 21855.

Final Answer

The result of 18/55 added to 8/4 is:

1855+84=21855

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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