82/28 added to 139/3 in Fraction Form

The result of 82/28 added to 139/3 is: 49 11/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8228 and 1393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 28 and 3 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8228 to 24684
Convert 1393 to 389284

Step 4: Add the Numerators

Add the numerators: 246 + 3892 = 4138

Step 5: Simplify the Fraction

We can simplify 413884 to its lowest form.
The greatest common divisor (GCD) of 4138 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 206942.

Step 6: Convert to Mixed Number

The fraction 206942 can be written as the mixed number 491142.

Final Answer

The result of 82/28 added to 139/3 is:

8228+1393=491142

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: