184/41 added to 15/3 in Fraction Form

The result of 184/41 added to 15/3 is: 9 20/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18441 and 153.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18441 to 552123
Convert 153 to 615123

Step 4: Add the Numerators

Add the numerators: 552 + 615 = 1167

Step 5: Simplify the Fraction

We can simplify 1167123 to its lowest form.
The greatest common divisor (GCD) of 1167 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 38941.

Step 6: Convert to Mixed Number

The fraction 38941 can be written as the mixed number 92041.

Final Answer

The result of 184/41 added to 15/3 is:

18441+153=92041

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).

Fraction Calculator

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