127/73 added to 126/2 in Fraction Form

The result of 127/73 added to 126/2 is: 64 54/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12773 and 1262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12773 to 254146
Convert 1262 to 9198146

Step 4: Add the Numerators

Add the numerators: 254 + 9198 = 9452

Step 5: Simplify the Fraction

We can simplify 9452146 to its lowest form.
The greatest common divisor (GCD) of 9452 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 472673.

Step 6: Convert to Mixed Number

The fraction 472673 can be written as the mixed number 645473.

Final Answer

The result of 127/73 added to 126/2 is:

12773+1262=645473

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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