12/82 added to 185/3 in Fraction Form

The result of 12/82 added to 185/3 is: 61 100/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1282 and 1853.

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 1282 to 36246
Convert 1853 to 15170246

Step 4: Add the Numerators

Add the numerators: 36 + 15170 = 15206

Step 5: Simplify the Fraction

We can simplify 15206246 to its lowest form.
The greatest common divisor (GCD) of 15206 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 7603123.

Step 6: Convert to Mixed Number

The fraction 7603123 can be written as the mixed number 61100123.

Final Answer

The result of 12/82 added to 185/3 is:

1282+1853=61100123

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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