172/23 added to 10/2 in Fraction Form

The result of 172/23 added to 10/2 is: 12 11/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17223 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 2 is 46.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17223 to 34446
Convert 102 to 23046

Step 4: Add the Numerators

Add the numerators: 344 + 230 = 574

Step 5: Simplify the Fraction

We can simplify 57446 to its lowest form.
The greatest common divisor (GCD) of 574 and 46 is 2.
Dividing both numerator and denominator by the GCD, we get 28723.

Step 6: Convert to Mixed Number

The fraction 28723 can be written as the mixed number 121123.

Final Answer

The result of 172/23 added to 10/2 is:

17223+102=121123

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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