19/73 added to 30/2 in Fraction Form

The result of 19/73 added to 30/2 is: 15 19/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1973 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1973 to 38146
Convert 302 to 2190146

Step 4: Add the Numerators

Add the numerators: 38 + 2190 = 2228

Step 5: Simplify the Fraction

We can simplify 2228146 to its lowest form.
The greatest common divisor (GCD) of 2228 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 111473.

Step 6: Convert to Mixed Number

The fraction 111473 can be written as the mixed number 151973.

Final Answer

The result of 19/73 added to 30/2 is:

1973+302=151973

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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