4/100 added to 139/3 in Fraction Form

The result of 4/100 added to 139/3 is: 46 28/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4100 and 1393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 100 and 3 is 300.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4100 to 12300
Convert 1393 to 13900300

Step 4: Add the Numerators

Add the numerators: 12 + 13900 = 13912

Step 5: Simplify the Fraction

We can simplify 13912300 to its lowest form.
The greatest common divisor (GCD) of 13912 and 300 is 4.
Dividing both numerator and denominator by the GCD, we get 347875.

Step 6: Convert to Mixed Number

The fraction 347875 can be written as the mixed number 462875.

Final Answer

The result of 4/100 added to 139/3 is:

4100+1393=462875

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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