182/82 added to 41/3 in Fraction Form

The result of 182/82 added to 41/3 is: 15 109/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18282 and 413.

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 18282 to 546246
Convert 413 to 3362246

Step 4: Add the Numerators

Add the numerators: 546 + 3362 = 3908

Step 5: Simplify the Fraction

We can simplify 3908246 to its lowest form.
The greatest common divisor (GCD) of 3908 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 1954123.

Step 6: Convert to Mixed Number

The fraction 1954123 can be written as the mixed number 15109123.

Final Answer

The result of 182/82 added to 41/3 is:

18282+413=15109123

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

Calculate operations between any two fractions: