83/32 added to 12/6 in Fraction Form

The result of 83/32 added to 12/6 is: 4 19/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8332 and 126.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 6 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8332 to 24996
Convert 126 to 19296

Step 4: Add the Numerators

Add the numerators: 249 + 192 = 441

Step 5: Simplify the Fraction

We can simplify 44196 to its lowest form.
The greatest common divisor (GCD) of 441 and 96 is 3.
Dividing both numerator and denominator by the GCD, we get 14732.

Step 6: Convert to Mixed Number

The fraction 14732 can be written as the mixed number 41932.

Final Answer

The result of 83/32 added to 12/6 is:

8332+126=41932

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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