81/159 added to 72/4 in Fraction Form

The result of 81/159 added to 72/4 is: 18 27/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81159 and 724.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 4 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81159 to 324636
Convert 724 to 11448636

Step 4: Add the Numerators

Add the numerators: 324 + 11448 = 11772

Step 5: Simplify the Fraction

We can simplify 11772636 to its lowest form.
The greatest common divisor (GCD) of 11772 and 636 is 12.
Dividing both numerator and denominator by the GCD, we get 98153.

Step 6: Convert to Mixed Number

The fraction 98153 can be written as the mixed number 182753.

Final Answer

The result of 81/159 added to 72/4 is:

81159+724=182753

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: