21/32 added to 12/6 in Fraction Form

The result of 21/32 added to 12/6 is: 2 21/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2132 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 2132 to 6396
Convert 126 to 19296

Step 4: Add the Numerators

Add the numerators: 63 + 192 = 255

Step 5: Simplify the Fraction

We can simplify 25596 to its lowest form.
The greatest common divisor (GCD) of 255 and 96 is 3.
Dividing both numerator and denominator by the GCD, we get 8532.

Step 6: Convert to Mixed Number

The fraction 8532 can be written as the mixed number 22132.

Final Answer

The result of 21/32 added to 12/6 is:

2132+126=22132

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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