119/102 added to 32/2 in Fraction Form

The result of 119/102 added to 32/2 is: 17 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 119102 and 322.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 119102 to 119102
Convert 322 to 1632102

Step 4: Add the Numerators

Add the numerators: 119 + 1632 = 1751

Step 5: Simplify the Fraction

We can simplify 1751102 to its lowest form.
The greatest common divisor (GCD) of 1751 and 102 is 17.
Dividing both numerator and denominator by the GCD, we get 1036.

Step 6: Convert to Mixed Number

The fraction 1036 can be written as the mixed number 1716.

Final Answer

The result of 119/102 added to 32/2 is:

119102+322=1716

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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