127/78 added to 8/4 in Fraction Form

The result of 127/78 added to 8/4 is: 3 49/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12778 and 84.

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 12778 to 254156
Convert 84 to 312156

Step 4: Add the Numerators

Add the numerators: 254 + 312 = 566

Step 5: Simplify the Fraction

We can simplify 566156 to its lowest form.
The greatest common divisor (GCD) of 566 and 156 is 2.
Dividing both numerator and denominator by the GCD, we get 28378.

Step 6: Convert to Mixed Number

The fraction 28378 can be written as the mixed number 34978.

Final Answer

The result of 127/78 added to 8/4 is:

12778+84=34978

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: