18/9 added to 155/4 in Fraction Form

The result of 18/9 added to 155/4 is: 40 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 189 and 1554.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 189 to 7236
Convert 1554 to 139536

Step 4: Add the Numerators

Add the numerators: 72 + 1395 = 1467

Step 5: Simplify the Fraction

We can simplify 146736 to its lowest form.
The greatest common divisor (GCD) of 1467 and 36 is 9.
Dividing both numerator and denominator by the GCD, we get 1634.

Step 6: Convert to Mixed Number

The fraction 1634 can be written as the mixed number 4034.

Final Answer

The result of 18/9 added to 155/4 is:

189+1554=4034

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

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