9/99 added to 5/4 in Fraction Form

The result of 9/99 added to 5/4 is: 1 15/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 999 and 54.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 999 to 36396
Convert 54 to 495396

Step 4: Add the Numerators

Add the numerators: 36 + 495 = 531

Step 5: Simplify the Fraction

We can simplify 531396 to its lowest form.
The greatest common divisor (GCD) of 531 and 396 is 9.
Dividing both numerator and denominator by the GCD, we get 5944.

Step 6: Convert to Mixed Number

The fraction 5944 can be written as the mixed number 11544.

Final Answer

The result of 9/99 added to 5/4 is:

999+54=11544

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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