Question

The product of one and four thirty-seconds and twenty thirty-seconds is:

A) 1/32
B) 5/32
C) 20/32
D) 24/32

Answer 1

The product of 1 4/32 and 20/32 leads to the improper fraction 36/32 multiplied by 20/32, which simplifies to 45/64. This does not match the given answer choices, suggesting an error in the question or options.

Step-by-step explanation:

The question asks for the product of 1 and 4 thirty-seconds (1 4/32) and 20 thirty-seconds (20/32). To find the product, first, we need to turn the mixed number into an improper fraction.

This can be done by multiplying the whole number (1) by the denominator (32) and adding the numerator (4) to get the new numerator. This turns 1 4/32 into 36/32.

Next, multiply the two fractions:

• 36/32 × 20/32 = (36×20) / (32×32)

Carrying out the multiplication gives us:

• 720 / 1024

Both of these numbers have common factors, so we can simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor, which is 32:

• 720 / 32 = 22.5
• 1024 / 32 = 32

So our simplified answer is 22.5 / 32, which can further be reduced. Since it is a decimal, we can convert 22.5 into a fraction which is 225/10. The fraction 22.5/32 then becomes 225/320.

This can be simplified by dividing both numerator and denominator by 5: 45/64. However, this answer does not match any of the options provided (A-D), indicating a possible error in the original question or answer choices.