Question

Problem A: Lynn buys 6 2/3yards of plastic tubing for a landscaping project. The tubing costs

$1.20 per yard. What is the total cost of the tubing, not including tax?

Answer 1

he total cost of the tubing, not including tax, is $8.

Explanation:

First, convert the mixed number 6 2/3 into an improper fraction. To do this, multiply the whole number (6) by the denominator (3) and then add the numerator (2). This gives you (6 * 3 + 2 = 20) as the numerator.

So, 6 2/3 is equivalent to 20/3 as a fraction.

Now, multiply the fraction (20/3) by the cost per yard ($1.20) to find the cost for the given length of tubing:

(20/3) * $1.20 = (20/3) * $1.20 = $((20/3) * 1.20) = $((20/3) * 1.20)

Calculate the result:

$((20/3) * 1.20) = $(20/3 * 1.20)

To multiply a fraction by a whole number, you can multiply the whole number by the numerator and keep the same denominator. So:

$(20/3 * 1.20) = $(20/3 * 12/10)

Now, multiply the numerators (20 * 12) and the denominators (3 * 10):

$(240/30)

Simplify the fraction:

$((240/30) = $(8/1)

Finally, convert the fraction back to a whole number:

$8