23/213 added to 49/6 in Fraction Form

The result of 23/213 added to 49/6 is: 8 39/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23213 and 496.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 6 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23213 to 46426
Convert 496 to 3479426

Step 4: Add the Numerators

Add the numerators: 46 + 3479 = 3525

Step 5: Simplify the Fraction

We can simplify 3525426 to its lowest form.
The greatest common divisor (GCD) of 3525 and 426 is 3.
Dividing both numerator and denominator by the GCD, we get 1175142.

Step 6: Convert to Mixed Number

The fraction 1175142 can be written as the mixed number 839142.

Final Answer

The result of 23/213 added to 49/6 is:

23213+496=839142

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: