40/212 added to 1/2 in Fraction Form

The result of 40/212 added to 1/2 is: 73/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 40212 and 12.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 2 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 40212 to 40212
Convert 12 to 106212

Step 4: Add the Numerators

Add the numerators: 40 + 106 = 146

Step 5: Simplify the Fraction

We can simplify 146212 to its lowest form.
The greatest common divisor (GCD) of 146 and 212 is 2.
Dividing both numerator and denominator by the GCD, we get 73106.

Final Answer

The result of 40/212 added to 1/2 is:

40212+12=73106

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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