78/136 added to 82/3 in Fraction Form

The result of 78/136 added to 82/3 is: 27 185/204

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78136 and 823.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 136 and 3 is 408.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78136 to 234408
Convert 823 to 11152408

Step 4: Add the Numerators

Add the numerators: 234 + 11152 = 11386

Step 5: Simplify the Fraction

We can simplify 11386408 to its lowest form.
The greatest common divisor (GCD) of 11386 and 408 is 2.
Dividing both numerator and denominator by the GCD, we get 5693204.

Step 6: Convert to Mixed Number

The fraction 5693204 can be written as the mixed number 27185204.

Final Answer

The result of 78/136 added to 82/3 is:

78136+823=27185204

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: