127/75 added to 90/2 in Fraction Form

The result of 127/75 added to 90/2 is: 46 52/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12775 and 902.

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 902 to 6750150

Step 4: Add the Numerators

Add the numerators: 254 + 6750 = 7004

Step 5: Simplify the Fraction

We can simplify 7004150 to its lowest form.
The greatest common divisor (GCD) of 7004 and 150 is 2.
Dividing both numerator and denominator by the GCD, we get 350275.

Step 6: Convert to Mixed Number

The fraction 350275 can be written as the mixed number 465275.

Final Answer

The result of 127/75 added to 90/2 is:

12775+902=465275

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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