72/146 added to 73/3 in Fraction Form

The result of 72/146 added to 73/3 is: 24 181/219

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72146 and 733.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 3 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72146 to 216438
Convert 733 to 10658438

Step 4: Add the Numerators

Add the numerators: 216 + 10658 = 10874

Step 5: Simplify the Fraction

We can simplify 10874438 to its lowest form.
The greatest common divisor (GCD) of 10874 and 438 is 2.
Dividing both numerator and denominator by the GCD, we get 5437219.

Step 6: Convert to Mixed Number

The fraction 5437219 can be written as the mixed number 24181219.

Final Answer

The result of 72/146 added to 73/3 is:

72146+733=24181219

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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