18/83 added to 182/6 in Fraction Form

The result of 18/83 added to 182/6 is: 30 137/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1883 and 1826.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 6 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1883 to 108498
Convert 1826 to 15106498

Step 4: Add the Numerators

Add the numerators: 108 + 15106 = 15214

Step 5: Simplify the Fraction

We can simplify 15214498 to its lowest form.
The greatest common divisor (GCD) of 15214 and 498 is 2.
Dividing both numerator and denominator by the GCD, we get 7607249.

Step 6: Convert to Mixed Number

The fraction 7607249 can be written as the mixed number 30137249.

Final Answer

The result of 18/83 added to 182/6 is:

1883+1826=30137249

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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