67/159 added to 52/3 in Fraction Form

The result of 67/159 added to 52/3 is: 17 40/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67159 and 523.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 3 is 159.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67159 to 67159
Convert 523 to 2756159

Step 4: Add the Numerators

Add the numerators: 67 + 2756 = 2823

Step 5: Simplify the Fraction

We can simplify 2823159 to its lowest form.
The greatest common divisor (GCD) of 2823 and 159 is 3.
Dividing both numerator and denominator by the GCD, we get 94153.

Step 6: Convert to Mixed Number

The fraction 94153 can be written as the mixed number 174053.

Final Answer

The result of 67/159 added to 52/3 is:

67159+523=174053

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: