96/127 added to 108/4 in Fraction Form

The result of 96/127 added to 108/4 is: 27 96/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 96127 and 1084.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 96127 to 384508
Convert 1084 to 13716508

Step 4: Add the Numerators

Add the numerators: 384 + 13716 = 14100

Step 5: Simplify the Fraction

We can simplify 14100508 to its lowest form.
The greatest common divisor (GCD) of 14100 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 3525127.

Step 6: Convert to Mixed Number

The fraction 3525127 can be written as the mixed number 2796127.

Final Answer

The result of 96/127 added to 108/4 is:

96127+1084=2796127

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: