20/216 added to 99/4 in Fraction Form

The result of 20/216 added to 99/4 is: 24 91/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20216 and 994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 216 and 4 is 216.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20216 to 20216
Convert 994 to 5346216

Step 4: Add the Numerators

Add the numerators: 20 + 5346 = 5366

Step 5: Simplify the Fraction

We can simplify 5366216 to its lowest form.
The greatest common divisor (GCD) of 5366 and 216 is 2.
Dividing both numerator and denominator by the GCD, we get 2683108.

Step 6: Convert to Mixed Number

The fraction 2683108 can be written as the mixed number 2491108.

Final Answer

The result of 20/216 added to 99/4 is:

20216+994=2491108

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: