10/41 added to 30/3 in Fraction Form

The result of 10/41 added to 30/3 is: 10 10/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1041 and 303.

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 303 to 1230123

Step 4: Add the Numerators

Add the numerators: 30 + 1230 = 1260

Step 5: Simplify the Fraction

We can simplify 1260123 to its lowest form.
The greatest common divisor (GCD) of 1260 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 42041.

Step 6: Convert to Mixed Number

The fraction 42041 can be written as the mixed number 101041.

Final Answer

The result of 10/41 added to 30/3 is:

1041+303=101041

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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