2/182 added to 38/3 in Fraction Form

The result of 2/182 added to 38/3 is: 12 185/273

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2182 and 383.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 3 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2182 to 6546
Convert 383 to 6916546

Step 4: Add the Numerators

Add the numerators: 6 + 6916 = 6922

Step 5: Simplify the Fraction

We can simplify 6922546 to its lowest form.
The greatest common divisor (GCD) of 6922 and 546 is 2.
Dividing both numerator and denominator by the GCD, we get 3461273.

Step 6: Convert to Mixed Number

The fraction 3461273 can be written as the mixed number 12185273.

Final Answer

The result of 2/182 added to 38/3 is:

2182+383=12185273

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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