Question

Multiply the following. Use the cancellation technique. 3 1/2 × 1/2 × 31/2=

Answer 1

So, the product of 3 1/2, 1/2, and 31/2 is (7/4) * (3^(1/2)), which is the final result in simplified form.

Step-by-step explanation:

To multiply the given numbers using the cancellation technique, you can simplify the fractions first and then multiply:

Convert 3 1/2 to an improper fraction:

3 1/2 = 7/2

Now, we have the following expression:

(7/2) × (1/2) × (3^(1/2))

Next, you can cancel common factors between numerators and denominators:

(7/2) × (1/2) × (3^(1/2)) = (7 * 1) / (2 * 2) * (3^(1/2))

Simplify the remaining fractions:

(7 * 1) / (2 * 2) = 7/4

Now, you have:

(7/4) * (3^(1/2))