169/9 added to 102/4 in Fraction Form

The result of 169/9 added to 102/4 is: 44 5/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1699 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1699 to 67636
Convert 1024 to 91836

Step 4: Add the Numerators

Add the numerators: 676 + 918 = 1594

Step 5: Simplify the Fraction

We can simplify 159436 to its lowest form.
The greatest common divisor (GCD) of 1594 and 36 is 2.
Dividing both numerator and denominator by the GCD, we get 79718.

Step 6: Convert to Mixed Number

The fraction 79718 can be written as the mixed number 44518.

Final Answer

The result of 169/9 added to 102/4 is:

1699+1024=44518

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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