24/166 added to 82/3 in Fraction Form

The result of 24/166 added to 82/3 is: 27 119/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24166 and 823.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 3 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24166 to 72498
Convert 823 to 13612498

Step 4: Add the Numerators

Add the numerators: 72 + 13612 = 13684

Step 5: Simplify the Fraction

We can simplify 13684498 to its lowest form.
The greatest common divisor (GCD) of 13684 and 498 is 2.
Dividing both numerator and denominator by the GCD, we get 6842249.

Step 6: Convert to Mixed Number

The fraction 6842249 can be written as the mixed number 27119249.

Final Answer

The result of 24/166 added to 82/3 is:

24166+823=27119249

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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