72/194 added to 16/4 in Fraction Form

The result of 72/194 added to 16/4 is: 4 36/97

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72194 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 194 and 4 is 388.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72194 to 144388
Convert 164 to 1552388

Step 4: Add the Numerators

Add the numerators: 144 + 1552 = 1696

Step 5: Simplify the Fraction

We can simplify 1696388 to its lowest form.
The greatest common divisor (GCD) of 1696 and 388 is 4.
Dividing both numerator and denominator by the GCD, we get 42497.

Step 6: Convert to Mixed Number

The fraction 42497 can be written as the mixed number 43697.

Final Answer

The result of 72/194 added to 16/4 is:

72194+164=43697

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: