4/82 added to 181/3 in Fraction Form

The result of 4/82 added to 181/3 is: 60 47/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 482 and 1813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 482 to 12246
Convert 1813 to 14842246

Step 4: Add the Numerators

Add the numerators: 12 + 14842 = 14854

Step 5: Simplify the Fraction

We can simplify 14854246 to its lowest form.
The greatest common divisor (GCD) of 14854 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 7427123.

Step 6: Convert to Mixed Number

The fraction 7427123 can be written as the mixed number 6047123.

Final Answer

The result of 4/82 added to 181/3 is:

482+1813=6047123

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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