15/198 added to 4/4 in Fraction Form

The result of 15/198 added to 4/4 is: 1 5/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15198 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 198 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15198 to 30396
Convert 44 to 396396

Step 4: Add the Numerators

Add the numerators: 30 + 396 = 426

Step 5: Simplify the Fraction

We can simplify 426396 to its lowest form.
The greatest common divisor (GCD) of 426 and 396 is 6.
Dividing both numerator and denominator by the GCD, we get 7166.

Step 6: Convert to Mixed Number

The fraction 7166 can be written as the mixed number 1566.

Final Answer

The result of 15/198 added to 4/4 is:

15198+44=1566

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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