15/200 added to 5/4 in Fraction Form

The result of 15/200 added to 5/4 is: 1 13/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15200 and 54.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 200 and 4 is 200.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15200 to 15200
Convert 54 to 250200

Step 4: Add the Numerators

Add the numerators: 15 + 250 = 265

Step 5: Simplify the Fraction

We can simplify 265200 to its lowest form.
The greatest common divisor (GCD) of 265 and 200 is 5.
Dividing both numerator and denominator by the GCD, we get 5340.

Step 6: Convert to Mixed Number

The fraction 5340 can be written as the mixed number 11340.

Final Answer

The result of 15/200 added to 5/4 is:

15200+54=11340

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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