12/96 added to 127/3 in Fraction Form

The result of 12/96 added to 127/3 is: 42 11/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1296 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 96 and 3 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1296 to 1296
Convert 1273 to 406496

Step 4: Add the Numerators

Add the numerators: 12 + 4064 = 4076

Step 5: Simplify the Fraction

We can simplify 407696 to its lowest form.
The greatest common divisor (GCD) of 4076 and 96 is 4.
Dividing both numerator and denominator by the GCD, we get 101924.

Step 6: Convert to Mixed Number

The fraction 101924 can be written as the mixed number 421124.

Final Answer

The result of 12/96 added to 127/3 is:

1296+1273=421124

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

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