15/81 added to 194/4 in Fraction Form

The result of 15/81 added to 194/4 is: 48 37/54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1581 and 1944.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1581 to 60324
Convert 1944 to 15714324

Step 4: Add the Numerators

Add the numerators: 60 + 15714 = 15774

Step 5: Simplify the Fraction

We can simplify 15774324 to its lowest form.
The greatest common divisor (GCD) of 15774 and 324 is 6.
Dividing both numerator and denominator by the GCD, we get 262954.

Step 6: Convert to Mixed Number

The fraction 262954 can be written as the mixed number 483754.

Final Answer

The result of 15/81 added to 194/4 is:

1581+1944=483754

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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