13/139 added to 100/4 in Fraction Form

The result of 13/139 added to 100/4 is: 25 13/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13139 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 4 is 556.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13139 to 52556
Convert 1004 to 13900556

Step 4: Add the Numerators

Add the numerators: 52 + 13900 = 13952

Step 5: Simplify the Fraction

We can simplify 13952556 to its lowest form.
The greatest common divisor (GCD) of 13952 and 556 is 4.
Dividing both numerator and denominator by the GCD, we get 3488139.

Step 6: Convert to Mixed Number

The fraction 3488139 can be written as the mixed number 2513139.

Final Answer

The result of 13/139 added to 100/4 is:

13139+1004=2513139

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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