31/82 added to 191/2 in Fraction Form

The result of 31/82 added to 191/2 is: 95 36/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3182 and 1912.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 2 is 82.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3182 to 3182
Convert 1912 to 783182

Step 4: Add the Numerators

Add the numerators: 31 + 7831 = 7862

Step 5: Simplify the Fraction

We can simplify 786282 to its lowest form.
The greatest common divisor (GCD) of 7862 and 82 is 2.
Dividing both numerator and denominator by the GCD, we get 393141.

Step 6: Convert to Mixed Number

The fraction 393141 can be written as the mixed number 953641.

Final Answer

The result of 31/82 added to 191/2 is:

3182+1912=953641

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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