64/185 added to 20/6 in Fraction Form

The result of 64/185 added to 20/6 is: 3 377/555

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64185 and 206.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 6 is 1110.

Step 3: Convert Fractions to Equivalent Fractions

Convert 64185 to 3841110
Convert 206 to 37001110

Step 4: Add the Numerators

Add the numerators: 384 + 3700 = 4084

Step 5: Simplify the Fraction

We can simplify 40841110 to its lowest form.
The greatest common divisor (GCD) of 4084 and 1110 is 2.
Dividing both numerator and denominator by the GCD, we get 2042555.

Step 6: Convert to Mixed Number

The fraction 2042555 can be written as the mixed number 3377555.

Final Answer

The result of 64/185 added to 20/6 is:

64185+206=3377555

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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