173/15 added to 122/2 in Fraction Form

The result of 173/15 added to 122/2 is: 72 8/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17315 and 1222.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17315 to 34630
Convert 1222 to 183030

Step 4: Add the Numerators

Add the numerators: 346 + 1830 = 2176

Step 5: Simplify the Fraction

We can simplify 217630 to its lowest form.
The greatest common divisor (GCD) of 2176 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 108815.

Step 6: Convert to Mixed Number

The fraction 108815 can be written as the mixed number 72815.

Final Answer

The result of 173/15 added to 122/2 is:

17315+1222=72815

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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