82/143 added to 102/4 in Fraction Form

The result of 82/143 added to 102/4 is: 26 21/286

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82143 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 143 and 4 is 572.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82143 to 328572
Convert 1024 to 14586572

Step 4: Add the Numerators

Add the numerators: 328 + 14586 = 14914

Step 5: Simplify the Fraction

We can simplify 14914572 to its lowest form.
The greatest common divisor (GCD) of 14914 and 572 is 2.
Dividing both numerator and denominator by the GCD, we get 7457286.

Step 6: Convert to Mixed Number

The fraction 7457286 can be written as the mixed number 2621286.

Final Answer

The result of 82/143 added to 102/4 is:

82143+1024=2621286

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: