4/128 added to 82/3 in Fraction Form

The result of 4/128 added to 82/3 is: 27 35/96

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4128 and 823.

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 4128 to 12384
Convert 823 to 10496384

Step 4: Add the Numerators

Add the numerators: 12 + 10496 = 10508

Step 5: Simplify the Fraction

We can simplify 10508384 to its lowest form.
The greatest common divisor (GCD) of 10508 and 384 is 4.
Dividing both numerator and denominator by the GCD, we get 262796.

Step 6: Convert to Mixed Number

The fraction 262796 can be written as the mixed number 273596.

Final Answer

The result of 4/128 added to 82/3 is:

4128+823=273596

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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