150/9 added to 127/2 in Fraction Form

The result of 150/9 added to 127/2 is: 80 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1509 and 1272.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1509 to 30018
Convert 1272 to 114318

Step 4: Add the Numerators

Add the numerators: 300 + 1143 = 1443

Step 5: Simplify the Fraction

We can simplify 144318 to its lowest form.
The greatest common divisor (GCD) of 1443 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 4816.

Step 6: Convert to Mixed Number

The fraction 4816 can be written as the mixed number 8016.

Final Answer

The result of 150/9 added to 127/2 is:

1509+1272=8016

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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