81/67 added to 159/3 in Fraction Form

The result of 81/67 added to 159/3 is: 54 14/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8167 and 1593.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 3 is 201.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8167 to 243201
Convert 1593 to 10653201

Step 4: Add the Numerators

Add the numerators: 243 + 10653 = 10896

Step 5: Simplify the Fraction

We can simplify 10896201 to its lowest form.
The greatest common divisor (GCD) of 10896 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 363267.

Step 6: Convert to Mixed Number

The fraction 363267 can be written as the mixed number 541467.

Final Answer

The result of 81/67 added to 159/3 is:

8167+1593=541467

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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