26/16 added to 243/2 in Fraction Form

The result of 26/16 added to 243/2 is: 123 1/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2616 and 2432.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 2 is 16.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2616 to 2616
Convert 2432 to 194416

Step 4: Add the Numerators

Add the numerators: 26 + 1944 = 1970

Step 5: Simplify the Fraction

We can simplify 197016 to its lowest form.
The greatest common divisor (GCD) of 1970 and 16 is 2.
Dividing both numerator and denominator by the GCD, we get 9858.

Step 6: Convert to Mixed Number

The fraction 9858 can be written as the mixed number 12318.

Final Answer

The result of 26/16 added to 243/2 is:

2616+2432=12318

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: