12/21 multiplied by 8/3 in Fraction Form

The result of 12/21 multiplied by 8/3 is: 1 11/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1221 and 83.

Step 2: Multiply the Numerators

Multiply the numerators: 12 × 8 = 96

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 3 = 63

Step 4: Simplify the Fraction

We can simplify 9663 to its lowest form.
The greatest common divisor (GCD) of 96 and 63 is 3.
Dividing both numerator and denominator by the GCD, we get 3221.

Step 5: Convert to Mixed Number

The fraction 3221 can be written as the mixed number 11121.

Final Answer

The result of 12/21 multiplied by 8/3 is:

1221×83=11121

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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