22/100 added to 194/4 in Fraction Form

The result of 22/100 added to 194/4 is: 48 18/25

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22100 and 1944.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 100 and 4 is 100.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22100 to 22100
Convert 1944 to 4850100

Step 4: Add the Numerators

Add the numerators: 22 + 4850 = 4872

Step 5: Simplify the Fraction

We can simplify 4872100 to its lowest form.
The greatest common divisor (GCD) of 4872 and 100 is 4.
Dividing both numerator and denominator by the GCD, we get 121825.

Step 6: Convert to Mixed Number

The fraction 121825 can be written as the mixed number 481825.

Final Answer

The result of 22/100 added to 194/4 is:

22100+1944=481825

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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