Final answer:
The product of one and four thirty-seconds and twenty thirty-seconds is 5/64. This calculation involves multiplying and simplifying fractions, a common task in mathematics at the middle school level.
Step-by-step explanation:
The student asked: The product of one and four thirty-seconds and twenty thirty-seconds is ________. This question falls under the subject of Mathematics, specifically it deals with multiplication of fractions. The product mentioned in the question refers to the result of multiplying two fractions: 1 and 4/32 by 20/32.
First, let's simplify the fractions. The fraction 4/32 can be reduced to 1/8 because both the numerator and denominator can be divided by 4. Now, we multiply the two fractions: (1 * 20/32) * (1/8). Multiplying the first fraction by 1 does not change its value, so we have 20/32 * 1/8. Multiplying these gives us the product 20/256, which can be simplified by dividing both the numerator and the denominator by 4, resulting in a final answer of 5/64.