20/164 added to 67/2 in Fraction Form

The result of 20/164 added to 67/2 is: 33 51/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20164 and 672.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 2 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20164 to 20164
Convert 672 to 5494164

Step 4: Add the Numerators

Add the numerators: 20 + 5494 = 5514

Step 5: Simplify the Fraction

We can simplify 5514164 to its lowest form.
The greatest common divisor (GCD) of 5514 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 275782.

Step 6: Convert to Mixed Number

The fraction 275782 can be written as the mixed number 335182.

Final Answer

The result of 20/164 added to 67/2 is:

20164+672=335182

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

Calculate operations between any two fractions: