11/166 added to 146/4 in Fraction Form

The result of 11/166 added to 146/4 is: 36 47/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11166 and 1464.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11166 to 22332
Convert 1464 to 12118332

Step 4: Add the Numerators

Add the numerators: 22 + 12118 = 12140

Step 5: Simplify the Fraction

We can simplify 12140332 to its lowest form.
The greatest common divisor (GCD) of 12140 and 332 is 4.
Dividing both numerator and denominator by the GCD, we get 303583.

Step 6: Convert to Mixed Number

The fraction 303583 can be written as the mixed number 364783.

Final Answer

The result of 11/166 added to 146/4 is:

11166+1464=364783

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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