14/128 added to 127/3 in Fraction Form

The result of 14/128 added to 127/3 is: 42 85/192

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14128 and 1273.

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 14128 to 42384
Convert 1273 to 16256384

Step 4: Add the Numerators

Add the numerators: 42 + 16256 = 16298

Step 5: Simplify the Fraction

We can simplify 16298384 to its lowest form.
The greatest common divisor (GCD) of 16298 and 384 is 2.
Dividing both numerator and denominator by the GCD, we get 8149192.

Step 6: Convert to Mixed Number

The fraction 8149192 can be written as the mixed number 4285192.

Final Answer

The result of 14/128 added to 127/3 is:

14128+1273=4285192

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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