135/146 added to 45/2 in Fraction Form

The result of 135/146 added to 45/2 is: 23 31/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 135146 and 452.

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 135146 to 135146
Convert 452 to 3285146

Step 4: Add the Numerators

Add the numerators: 135 + 3285 = 3420

Step 5: Simplify the Fraction

We can simplify 3420146 to its lowest form.
The greatest common divisor (GCD) of 3420 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 171073.

Step 6: Convert to Mixed Number

The fraction 171073 can be written as the mixed number 233173.

Final Answer

The result of 135/146 added to 45/2 is:

135146+452=233173

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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