78/222 added to 24/2 in Fraction Form

The result of 78/222 added to 24/2 is: 12 13/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78222 and 242.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 2 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78222 to 78222
Convert 242 to 2664222

Step 4: Add the Numerators

Add the numerators: 78 + 2664 = 2742

Step 5: Simplify the Fraction

We can simplify 2742222 to its lowest form.
The greatest common divisor (GCD) of 2742 and 222 is 6.
Dividing both numerator and denominator by the GCD, we get 45737.

Step 6: Convert to Mixed Number

The fraction 45737 can be written as the mixed number 121337.

Final Answer

The result of 78/222 added to 24/2 is:

78222+242=121337

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: