21/166 added to 3/6 in Fraction Form

The result of 21/166 added to 3/6 is: 52/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21166 and 36.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 6 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21166 to 63498
Convert 36 to 249498

Step 4: Add the Numerators

Add the numerators: 63 + 249 = 312

Step 5: Simplify the Fraction

We can simplify 312498 to its lowest form.
The greatest common divisor (GCD) of 312 and 498 is 6.
Dividing both numerator and denominator by the GCD, we get 5283.

Final Answer

The result of 21/166 added to 3/6 is:

21166+36=5283

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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