24/180 added to 42/2 in Fraction Form

The result of 24/180 added to 42/2 is: 21 2/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24180 and 422.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 180 and 2 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24180 to 24180
Convert 422 to 3780180

Step 4: Add the Numerators

Add the numerators: 24 + 3780 = 3804

Step 5: Simplify the Fraction

We can simplify 3804180 to its lowest form.
The greatest common divisor (GCD) of 3804 and 180 is 12.
Dividing both numerator and denominator by the GCD, we get 31715.

Step 6: Convert to Mixed Number

The fraction 31715 can be written as the mixed number 21215.

Final Answer

The result of 24/180 added to 42/2 is:

24180+422=21215

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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