22/155 added to 18/3 in Fraction Form

The result of 22/155 added to 18/3 is: 6 22/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22155 and 183.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 3 is 465.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22155 to 66465
Convert 183 to 2790465

Step 4: Add the Numerators

Add the numerators: 66 + 2790 = 2856

Step 5: Simplify the Fraction

We can simplify 2856465 to its lowest form.
The greatest common divisor (GCD) of 2856 and 465 is 3.
Dividing both numerator and denominator by the GCD, we get 952155.

Step 6: Convert to Mixed Number

The fraction 952155 can be written as the mixed number 622155.

Final Answer

The result of 22/155 added to 18/3 is:

22155+183=622155

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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