4/41 added to 171/3 in Fraction Form

The result of 4/41 added to 171/3 is: 57 4/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 441 and 1713.

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 441 to 12123
Convert 1713 to 7011123

Step 4: Add the Numerators

Add the numerators: 12 + 7011 = 7023

Step 5: Simplify the Fraction

We can simplify 7023123 to its lowest form.
The greatest common divisor (GCD) of 7023 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 234141.

Step 6: Convert to Mixed Number

The fraction 234141 can be written as the mixed number 57441.

Final Answer

The result of 4/41 added to 171/3 is:

441+1713=57441

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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