127/45 added to 130/2 in Fraction Form

The result of 127/45 added to 130/2 is: 67 37/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12745 and 1302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 2 is 90.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12745 to 25490
Convert 1302 to 585090

Step 4: Add the Numerators

Add the numerators: 254 + 5850 = 6104

Step 5: Simplify the Fraction

We can simplify 610490 to its lowest form.
The greatest common divisor (GCD) of 6104 and 90 is 2.
Dividing both numerator and denominator by the GCD, we get 305245.

Step 6: Convert to Mixed Number

The fraction 305245 can be written as the mixed number 673745.

Final Answer

The result of 127/45 added to 130/2 is:

12745+1302=673745

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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