67/146 added to 66/3 in Fraction Form

The result of 67/146 added to 66/3 is: 22 67/146

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67146 and 663.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 3 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67146 to 201438
Convert 663 to 9636438

Step 4: Add the Numerators

Add the numerators: 201 + 9636 = 9837

Step 5: Simplify the Fraction

We can simplify 9837438 to its lowest form.
The greatest common divisor (GCD) of 9837 and 438 is 3.
Dividing both numerator and denominator by the GCD, we get 3279146.

Step 6: Convert to Mixed Number

The fraction 3279146 can be written as the mixed number 2267146.

Final Answer

The result of 67/146 added to 66/3 is:

67146+663=2267146

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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