113/146 added to 1/2 in Fraction Form

The result of 113/146 added to 1/2 is: 1 20/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 113146 and 12.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 113146 to 113146
Convert 12 to 73146

Step 4: Add the Numerators

Add the numerators: 113 + 73 = 186

Step 5: Simplify the Fraction

We can simplify 186146 to its lowest form.
The greatest common divisor (GCD) of 186 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 9373.

Step 6: Convert to Mixed Number

The fraction 9373 can be written as the mixed number 12073.

Final Answer

The result of 113/146 added to 1/2 is:

113146+12=12073

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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