127/75 added to 114/2 in Fraction Form

The result of 127/75 added to 114/2 is: 58 52/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12775 and 1142.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 75 and 2 is 150.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12775 to 254150
Convert 1142 to 8550150

Step 4: Add the Numerators

Add the numerators: 254 + 8550 = 8804

Step 5: Simplify the Fraction

We can simplify 8804150 to its lowest form.
The greatest common divisor (GCD) of 8804 and 150 is 2.
Dividing both numerator and denominator by the GCD, we get 440275.

Step 6: Convert to Mixed Number

The fraction 440275 can be written as the mixed number 585275.

Final Answer

The result of 127/75 added to 114/2 is:

12775+1142=585275

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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