20/194 added to 94/4 in Fraction Form

The result of 20/194 added to 94/4 is: 23 117/194

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20194 and 944.

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 20194 to 40388
Convert 944 to 9118388

Step 4: Add the Numerators

Add the numerators: 40 + 9118 = 9158

Step 5: Simplify the Fraction

We can simplify 9158388 to its lowest form.
The greatest common divisor (GCD) of 9158 and 388 is 2.
Dividing both numerator and denominator by the GCD, we get 4579194.

Step 6: Convert to Mixed Number

The fraction 4579194 can be written as the mixed number 23117194.

Final Answer

The result of 20/194 added to 94/4 is:

20194+944=23117194

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: