Multiply 2/3 × 12.
Understand the Problem
The question is asking us to multiply the fraction two-thirds by twelve. This involves performing a multiplication operation between a fraction and a whole number.
Answer
$8$
Answer for screen readers
The final answer is $8$.
Steps to Solve
- Convert the whole number to a fraction
To multiply a fraction by a whole number, we can express the whole number as a fraction. Thus, we can write 12 as $\frac{12}{1}$.
- Multiply the fractions
Now, we can multiply the two fractions together: $$ \frac{2}{3} \times \frac{12}{1} = \frac{2 \times 12}{3 \times 1} $$ This gives us: $$ \frac{24}{3} $$
- Simplify the fraction
Next, we simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 3: $$ \frac{24 \div 3}{3 \div 3} = \frac{8}{1} $$
- Write as a whole number
Finally, we can express $\frac{8}{1}$ as a whole number: $$ 8 $$
The final answer is $8$.
More Information
When multiplying a fraction by a whole number, converting the whole number into a fraction makes calculations easier. Also, simplifying the result is always important to present the final answer in its simplest form.
Tips
- Failing to convert the whole number: Some may forget to convert the whole number into a fraction before multiplication. Always remember to express whole numbers as fractions, such as $\frac{n}{1}$.
- Not simplifying the fraction: After multiplying, it's crucial to look for common factors to simplify the result. Ensure to check for the GCD to reduce the fraction properly.
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