127/9 added to 170/2 in Fraction Form

The result of 127/9 added to 170/2 is: 99 1/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1279 and 1702.

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 1279 to 25418
Convert 1702 to 153018

Step 4: Add the Numerators

Add the numerators: 254 + 1530 = 1784

Step 5: Simplify the Fraction

We can simplify 178418 to its lowest form.
The greatest common divisor (GCD) of 1784 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 8929.

Step 6: Convert to Mixed Number

The fraction 8929 can be written as the mixed number 9919.

Final Answer

The result of 127/9 added to 170/2 is:

1279+1702=9919

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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