38/128 added to 13/3 in Fraction Form

The result of 38/128 added to 13/3 is: 4 121/192

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38128 and 133.

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 133 to 1664384

Step 4: Add the Numerators

Add the numerators: 114 + 1664 = 1778

Step 5: Simplify the Fraction

We can simplify 1778384 to its lowest form.
The greatest common divisor (GCD) of 1778 and 384 is 2.
Dividing both numerator and denominator by the GCD, we get 889192.

Step 6: Convert to Mixed Number

The fraction 889192 can be written as the mixed number 4121192.

Final Answer

The result of 38/128 added to 13/3 is:

38128+133=4121192

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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