24/102 added to 173/4 in Fraction Form

The result of 24/102 added to 173/4 is: 43 33/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24102 and 1734.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24102 to 48204
Convert 1734 to 8823204

Step 4: Add the Numerators

Add the numerators: 48 + 8823 = 8871

Step 5: Simplify the Fraction

We can simplify 8871204 to its lowest form.
The greatest common divisor (GCD) of 8871 and 204 is 3.
Dividing both numerator and denominator by the GCD, we get 295768.

Step 6: Convert to Mixed Number

The fraction 295768 can be written as the mixed number 433368.

Final Answer

The result of 24/102 added to 173/4 is:

24102+1734=433368

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).

Fraction Calculator

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