15/149 added to 100/4 in Fraction Form

The result of 15/149 added to 100/4 is: 25 15/149

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15149 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15149 to 60596
Convert 1004 to 14900596

Step 4: Add the Numerators

Add the numerators: 60 + 14900 = 14960

Step 5: Simplify the Fraction

We can simplify 14960596 to its lowest form.
The greatest common divisor (GCD) of 14960 and 596 is 4.
Dividing both numerator and denominator by the GCD, we get 3740149.

Step 6: Convert to Mixed Number

The fraction 3740149 can be written as the mixed number 2515149.

Final Answer

The result of 15/149 added to 100/4 is:

15149+1004=2515149

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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