21/133 added to 99/2 in Fraction Form

The result of 21/133 added to 99/2 is: 49 25/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21133 and 992.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 133 and 2 is 266.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21133 to 42266
Convert 992 to 13167266

Step 4: Add the Numerators

Add the numerators: 42 + 13167 = 13209

Step 5: Simplify the Fraction

We can simplify 13209266 to its lowest form.
The greatest common divisor (GCD) of 13209 and 266 is 7.
Dividing both numerator and denominator by the GCD, we get 188738.

Step 6: Convert to Mixed Number

The fraction 188738 can be written as the mixed number 492538.

Final Answer

The result of 21/133 added to 99/2 is:

21133+992=492538

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

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