67/53 added to 164/2 in Fraction Form

The result of 67/53 added to 164/2 is: 83 14/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6753 and 1642.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 2 is 106.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6753 to 134106
Convert 1642 to 8692106

Step 4: Add the Numerators

Add the numerators: 134 + 8692 = 8826

Step 5: Simplify the Fraction

We can simplify 8826106 to its lowest form.
The greatest common divisor (GCD) of 8826 and 106 is 2.
Dividing both numerator and denominator by the GCD, we get 441353.

Step 6: Convert to Mixed Number

The fraction 441353 can be written as the mixed number 831453.

Final Answer

The result of 67/53 added to 164/2 is:

6753+1642=831453

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).

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