42/241 added to 12/2 in Fraction Form

The result of 42/241 added to 12/2 is: 6 42/241

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42241 and 122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 241 and 2 is 482.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42241 to 84482
Convert 122 to 2892482

Step 4: Add the Numerators

Add the numerators: 84 + 2892 = 2976

Step 5: Simplify the Fraction

We can simplify 2976482 to its lowest form.
The greatest common divisor (GCD) of 2976 and 482 is 2.
Dividing both numerator and denominator by the GCD, we get 1488241.

Step 6: Convert to Mixed Number

The fraction 1488241 can be written as the mixed number 642241.

Final Answer

The result of 42/241 added to 12/2 is:

42241+122=642241

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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