8/12 added to 78/2 in Fraction Form

The result of 8/12 added to 78/2 is: 39 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 812 and 782.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 2 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 812 to 812
Convert 782 to 46812

Step 4: Add the Numerators

Add the numerators: 8 + 468 = 476

Step 5: Simplify the Fraction

We can simplify 47612 to its lowest form.
The greatest common divisor (GCD) of 476 and 12 is 4.
Dividing both numerator and denominator by the GCD, we get 1193.

Step 6: Convert to Mixed Number

The fraction 1193 can be written as the mixed number 3923.

Final Answer

The result of 8/12 added to 78/2 is:

812+782=3923

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).

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