6/182 added to 40/3 in Fraction Form

The result of 6/182 added to 40/3 is: 13 100/273

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6182 and 403.

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 6182 to 18546
Convert 403 to 7280546

Step 4: Add the Numerators

Add the numerators: 18 + 7280 = 7298

Step 5: Simplify the Fraction

We can simplify 7298546 to its lowest form.
The greatest common divisor (GCD) of 7298 and 546 is 2.
Dividing both numerator and denominator by the GCD, we get 3649273.

Step 6: Convert to Mixed Number

The fraction 3649273 can be written as the mixed number 13100273.

Final Answer

The result of 6/182 added to 40/3 is:

6182+403=13100273

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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