2/66 added to 185/3 in Fraction Form

The result of 2/66 added to 185/3 is: 61 23/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 266 and 1853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 66 and 3 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert 266 to 266
Convert 1853 to 407066

Step 4: Add the Numerators

Add the numerators: 2 + 4070 = 4072

Step 5: Simplify the Fraction

We can simplify 407266 to its lowest form.
The greatest common divisor (GCD) of 4072 and 66 is 2.
Dividing both numerator and denominator by the GCD, we get 203633.

Step 6: Convert to Mixed Number

The fraction 203633 can be written as the mixed number 612333.

Final Answer

The result of 2/66 added to 185/3 is:

266+1853=612333

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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