169/23 added to 102/3 in Fraction Form

The result of 169/23 added to 102/3 is: 41 8/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16923 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 3 is 69.

Step 3: Convert Fractions to Equivalent Fractions

Convert 16923 to 50769
Convert 1023 to 234669

Step 4: Add the Numerators

Add the numerators: 507 + 2346 = 2853

Step 5: Simplify the Fraction

We can simplify 285369 to its lowest form.
The greatest common divisor (GCD) of 2853 and 69 is 3.
Dividing both numerator and denominator by the GCD, we get 95123.

Step 6: Convert to Mixed Number

The fraction 95123 can be written as the mixed number 41823.

Final Answer

The result of 169/23 added to 102/3 is:

16923+1023=41823

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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