24/102 added to 190/3 in Fraction Form

The result of 24/102 added to 190/3 is: 63 29/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24102 and 1903.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24102 to 24102
Convert 1903 to 6460102

Step 4: Add the Numerators

Add the numerators: 24 + 6460 = 6484

Step 5: Simplify the Fraction

We can simplify 6484102 to its lowest form.
The greatest common divisor (GCD) of 6484 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 324251.

Step 6: Convert to Mixed Number

The fraction 324251 can be written as the mixed number 632951.

Final Answer

The result of 24/102 added to 190/3 is:

24102+1903=632951

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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