12/120 added to 18/4 in Fraction Form

The result of 12/120 added to 18/4 is: 4 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12120 and 184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 120 and 4 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12120 to 12120
Convert 184 to 540120

Step 4: Add the Numerators

Add the numerators: 12 + 540 = 552

Step 5: Simplify the Fraction

We can simplify 552120 to its lowest form.
The greatest common divisor (GCD) of 552 and 120 is 24.
Dividing both numerator and denominator by the GCD, we get 235.

Step 6: Convert to Mixed Number

The fraction 235 can be written as the mixed number 435.

Final Answer

The result of 12/120 added to 18/4 is:

12120+184=435

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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