38/128 added to 100/3 in Fraction Form

The result of 38/128 added to 100/3 is: 33 121/192

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38128 and 1003.

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 38128 to 114384
Convert 1003 to 12800384

Step 4: Add the Numerators

Add the numerators: 114 + 12800 = 12914

Step 5: Simplify the Fraction

We can simplify 12914384 to its lowest form.
The greatest common divisor (GCD) of 12914 and 384 is 2.
Dividing both numerator and denominator by the GCD, we get 6457192.

Step 6: Convert to Mixed Number

The fraction 6457192 can be written as the mixed number 33121192.

Final Answer

The result of 38/128 added to 100/3 is:

38128+1003=33121192

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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