2/164 added to 94/3 in Fraction Form

The result of 2/164 added to 94/3 is: 31 85/246

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2164 and 943.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 3 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2164 to 6492
Convert 943 to 15416492

Step 4: Add the Numerators

Add the numerators: 6 + 15416 = 15422

Step 5: Simplify the Fraction

We can simplify 15422492 to its lowest form.
The greatest common divisor (GCD) of 15422 and 492 is 2.
Dividing both numerator and denominator by the GCD, we get 7711246.

Step 6: Convert to Mixed Number

The fraction 7711246 can be written as the mixed number 3185246.

Final Answer

The result of 2/164 added to 94/3 is:

2164+943=3185246

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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