1/128 added to 96/3 in Fraction Form

The result of 1/128 added to 96/3 is: 32 1/128

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1128 and 963.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 128 and 3 is 384.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1128 to 3384
Convert 963 to 12288384

Step 4: Add the Numerators

Add the numerators: 3 + 12288 = 12291

Step 5: Simplify the Fraction

We can simplify 12291384 to its lowest form.
The greatest common divisor (GCD) of 12291 and 384 is 3.
Dividing both numerator and denominator by the GCD, we get 4097128.

Step 6: Convert to Mixed Number

The fraction 4097128 can be written as the mixed number 321128.

Final Answer

The result of 1/128 added to 96/3 is:

1128+963=321128

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).

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