72/164 added to 27/3 in Fraction Form

The result of 72/164 added to 27/3 is: 9 18/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72164 and 273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 3 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72164 to 216492
Convert 273 to 4428492

Step 4: Add the Numerators

Add the numerators: 216 + 4428 = 4644

Step 5: Simplify the Fraction

We can simplify 4644492 to its lowest form.
The greatest common divisor (GCD) of 4644 and 492 is 12.
Dividing both numerator and denominator by the GCD, we get 38741.

Step 6: Convert to Mixed Number

The fraction 38741 can be written as the mixed number 91841.

Final Answer

The result of 72/164 added to 27/3 is:

72164+273=91841

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

Calculate operations between any two fractions: