1/164 added to 132/3 in Fraction Form

The result of 1/164 added to 132/3 is: 44 1/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1164 and 1323.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 3 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1164 to 3492
Convert 1323 to 21648492

Step 4: Add the Numerators

Add the numerators: 3 + 21648 = 21651

Step 5: Simplify the Fraction

We can simplify 21651492 to its lowest form.
The greatest common divisor (GCD) of 21651 and 492 is 3.
Dividing both numerator and denominator by the GCD, we get 7217164.

Step 6: Convert to Mixed Number

The fraction 7217164 can be written as the mixed number 441164.

Final Answer

The result of 1/164 added to 132/3 is:

1164+1323=441164

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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