What is 9 x 2/3 as a fraction.
The Correct Answer and Explanation is :
To solve (9 \times \frac{2}{3}) and express the answer as a fraction, we follow these steps:
- Understand the operation: We are multiplying the whole number 9 by the fraction (\frac{2}{3}).
- Convert the whole number to a fraction: We can express the whole number 9 as a fraction. Since any whole number (a) can be written as (\frac{a}{1}), we have:
[
9 = \frac{9}{1}
] - Perform the multiplication: To multiply two fractions, we multiply the numerators together and the denominators together:
[
\frac{9}{1} \times \frac{2}{3} = \frac{9 \times 2}{1 \times 3}
] - Calculate the numerator and denominator:
- Numerator: (9 \times 2 = 18)
- Denominator: (1 \times 3 = 3) So we have:
[
\frac{18}{3}
]
- Simplify the fraction: To simplify (\frac{18}{3}), we divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:
[
\frac{18 \div 3}{3 \div 3} = \frac{6}{1}
]
Since (\frac{6}{1}) is equivalent to 6, we can also express our answer as a whole number, but as a fraction, it remains (\frac{6}{1}). - Final answer: Thus, the answer to (9 \times \frac{2}{3}) as a fraction is (\frac{18}{3}), which simplifies to (6) or can be expressed as (\frac{6}{1}).
In summary, we converted the whole number to a fraction, multiplied the fractions, and simplified the result. This process showcases how to handle multiplication with whole numbers and fractions, emphasizing the principles of fraction multiplication and simplification.