12/164 added to 99/2 in Fraction Form

The result of 12/164 added to 99/2 is: 49 47/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12164 and 992.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 2 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12164 to 12164
Convert 992 to 8118164

Step 4: Add the Numerators

Add the numerators: 12 + 8118 = 8130

Step 5: Simplify the Fraction

We can simplify 8130164 to its lowest form.
The greatest common divisor (GCD) of 8130 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 406582.

Step 6: Convert to Mixed Number

The fraction 406582 can be written as the mixed number 494782.

Final Answer

The result of 12/164 added to 99/2 is:

12164+992=494782

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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