18/34 added to 241/3 in Fraction Form

The result of 18/34 added to 241/3 is: 80 44/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1834 and 2413.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 34 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1834 to 54102
Convert 2413 to 8194102

Step 4: Add the Numerators

Add the numerators: 54 + 8194 = 8248

Step 5: Simplify the Fraction

We can simplify 8248102 to its lowest form.
The greatest common divisor (GCD) of 8248 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 412451.

Step 6: Convert to Mixed Number

The fraction 412451 can be written as the mixed number 804451.

Final Answer

The result of 18/34 added to 241/3 is:

1834+2413=804451

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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