10/41 added to 237/3 in Fraction Form

The result of 10/41 added to 237/3 is: 79 10/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1041 and 2373.

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 1041 to 30123
Convert 2373 to 9717123

Step 4: Add the Numerators

Add the numerators: 30 + 9717 = 9747

Step 5: Simplify the Fraction

We can simplify 9747123 to its lowest form.
The greatest common divisor (GCD) of 9747 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 324941.

Step 6: Convert to Mixed Number

The fraction 324941 can be written as the mixed number 791041.

Final Answer

The result of 10/41 added to 237/3 is:

1041+2373=791041

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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