TT7 lessons 54&55

Lessons 54 & 55

Multiple Choice

Review question:

True or false:

Tell whether 8,121 can be divided evenly (is divisible) by 3.

• True

• False

Multiple Choice

$$\frac{\frac{4}{5}}{\frac{3}{10}}$$

• 7/2
• 5/2
• 8/3
• 2/5

Lesson 54: Advertising

Budgets are important

Another place we commonly run into fractions is in budgeting. Often companies will allocate a budget for advertising. This might then get split into 2 or more different categories. Sometimes, the proportions are balanced (each department gets the same amount). At other times, they might be unbalanced.

Finding the fraction of a fraction

Example:

Company A has allocated 1/5 of its advertising budget to product A and 2/3 to product B. What fraction of the budget is allocated to these two products?

To answer this question, we add the fractions. But don't forget to find a common denominator!

Example: work together in Zoom

Gadget Mania Incorporated is doing a national advertising campaign for its top three products, the diaper alarm, the singing doorbell, and the pain-free tummy toner. The advertising director wants to spend 1/8 of their advertising budget on the alarm, 1/4 on the doorbell, and 1/3 on the toner. What fraction of their advertising budget will they spend on those three products?

Example: Sometimes you are given the budget

If Gadget Mania Incorporated allocates $2,400,000 to its advertising budget, how much will be spent on the three products listed?

To find out how much is to be spent on product A, B and C, we multiply each fraction by the total budget and then add those amounts together to find out how much will be spent on the 3 products together.

Multiple Choice

Johnson’s Antibacterial Socks plans to spend 1/2 of its advertising budget on newspaper ads, 1/3 on magazine ads, and 1/10 on direct mailings to homes. What fraction of its advertising budget will be spent in these three areas?

• 14/15

• 3/10

• 14/30

• 14/20

Finding a common denominator

If you don't want to write out the factor lists or factor trees for many numbers, you can just multiply all the denominators together. However, this won't always give you the Least Common Denominator. You might have to do a bit of reduction at the end of the problem.

Math Response

Sonic Hairdryers plans to spend 1/3 of its advertising budget on radio ads, 1/4 on magazine ads, and 1/5 on billboards. What fraction of its advertising budget will be spent in these three areas?

(use the fraction icon next to the x symbol)

Type answer here

Correct Answer: \frac{47}{60}

Deg^°

Rad

Carpentry is another common area to find fractions, proportions and percentages.

​

Lesson 55

Did you know?

In the US, a 2x4 board does not actually measure 2 inches by 4 inches. This is because the boards are cut from green wood and then have to be dried and planed (evened out). Both of these actions reduce the dimensions of the board down to about 1.5 x 3.5 inches. This is true for all board sizes.
Also, historically a 2x4 DID measure 2x4 inches when finished, but to get more boards from each log, mills began to reduce the dimensions of the "green" cut.

Did you know?

The penny system for measuring nails dates back to the MIddle Ages? In England, pennies were sold by the 120 count. Larger nails were more expensive. On the low end, 1-inch nails were sold for 2 pence per 120 nails. That’s how 2-penny or 2d came to describe nails that are 1 inch in length. On the high end, six-inch nails were sold for about 60 pence per 120 nails, which is why 60-penny or 60d nails refer to 6-inch nails today.

Did you know?

Example problem

To be secure, a nail must go 2/3 of the way through the material and not poke out the back.

If you are nailing 1/2 inch plywood board to a 2x4 (1.5x3.5), how long of a nail do you need?

​d or penny system:

Did you know?

Solve

Mitch was building a doghouse for his dog, Rufus. He was using 2x4s to frame the house and needed to drive a nail through two 2x4s. What length of nail should he use?

Solve

Multiple Choice

Big Hans is building a wooden tool shed and he needs to drive a nail through a 2x6 board with an actual thickness of 1 1/2 inches. What length of nail should he use? (Give your answer in inches.)

• 1 inch

• 1.5 inches

• 2.25 inches

• 2 inches

Multiple Choice

True or false:

The actual dimensions of a piece of lumber are different from the dimensions in its name.

• true

• false

Open Ended

Bridget’s father is building Champion a new stable, and he needs to drive a nail through a 4x6 board with an actual thickness of 3 1/2 inches. What length of nail should he use? (Give your answer in inches and write it as a mixed number.)

Homework

1. This week: Lessons 54, 55 and chapter quiz.

   Math lab today from 2:30-3:30

Have a great holiday! See you in January