13/128 added to 159/3 in Fraction Form

The result of 13/128 added to 159/3 is: 53 13/128

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13128 and 1593.

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 13128 to 39384
Convert 1593 to 20352384

Step 4: Add the Numerators

Add the numerators: 39 + 20352 = 20391

Step 5: Simplify the Fraction

We can simplify 20391384 to its lowest form.
The greatest common divisor (GCD) of 20391 and 384 is 3.
Dividing both numerator and denominator by the GCD, we get 6797128.

Step 6: Convert to Mixed Number

The fraction 6797128 can be written as the mixed number 5313128.

Final Answer

The result of 13/128 added to 159/3 is:

13128+1593=5313128

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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