Final answer:
The product of 1/4 times 2/3 is 2/12, which simplifies to 1/6. By multiplying the numerators and denominators separately and then simplifying by finding the greatest common divisor, we easily find the answer to the multiplication of two fractions.
Step-by-step explanation:
To calculate 1/4 times 2/3, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. The multiplication of numerators 1 and 2 gives you 2, and the multiplication of denominators 4 and 3 gives you 12. Therefore, 1/4 times 2/3 equals 2/12.
To simplify the fraction, you find the greatest common divisor of 2 and 12, which is 2. When you divide both the numerator and the denominator by 2, you get 1/6.
Additionally, understanding fractions can be made easier by comparing them to everyday concepts. For instance, if you know that one half of one-half is one quarter, or that three thirds make a whole, these references can help you understand that multiplying fractions is essentially combining the parts of the wholes they represent.