67/78 added to 102/4 in Fraction Form

The result of 67/78 added to 102/4 is: 26 14/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6778 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6778 to 134156
Convert 1024 to 3978156

Step 4: Add the Numerators

Add the numerators: 134 + 3978 = 4112

Step 5: Simplify the Fraction

We can simplify 4112156 to its lowest form.
The greatest common divisor (GCD) of 4112 and 156 is 4.
Dividing both numerator and denominator by the GCD, we get 102839.

Step 6: Convert to Mixed Number

The fraction 102839 can be written as the mixed number 261439.

Final Answer

The result of 67/78 added to 102/4 is:

6778+1024=261439

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: