Final answer:
The multiplication of three-fourths (¾) by two-thirds (⅔) results in six-twelfths (6/12), which simplifies to one-half (1/2). The correct answer is one-half, which does not match any of the provided options, indicating a potential error in the options given.
Step-by-step explanation:
To solve the equation three-fourths times two-thirds, we can multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. So, ¾ (which is three-fourths) multiplied by ⅔ (which is two-thirds) is calculated as follows:
(3 × 2) / (4 × 3)
= 6 / 12
After multiplying, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6 in this case:
6 / 12
= 1 / 2
So the simplified answer is one-half, which is not listed among the provided options. Therefore, it seems there might be a mistake in the options given as the correct answer does not match any of them. The correct multiplication of three-fourths and two-thirds is indeed one-half.