12/19 added to 30/2 in Fraction Form

The result of 12/19 added to 30/2 is: 15 12/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1219 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 2 is 38.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1219 to 2438
Convert 302 to 57038

Step 4: Add the Numerators

Add the numerators: 24 + 570 = 594

Step 5: Simplify the Fraction

We can simplify 59438 to its lowest form.
The greatest common divisor (GCD) of 594 and 38 is 2.
Dividing both numerator and denominator by the GCD, we get 29719.

Step 6: Convert to Mixed Number

The fraction 29719 can be written as the mixed number 151219.

Final Answer

The result of 12/19 added to 30/2 is:

1219+302=151219

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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