Math Worksheets

Archive for September, 2008

Question: I need fractions equivalent to three ninths, three twenty-ones, twelve fifteens, ten twelfths, and one tenth?

Math worksheet. My teacher did not explain it that much. My Mom has know clue and Google must be broken.

Answer: My maths teacher used to tell us

“If you do it to the top, you do it to the bottom” She sang it and repeated it until it stuck in our heads.

In this case you want fractions equivalent to each of the following:

1) 3/9
2) 2/12
3) 12/15
4) 10/12
5) 1/10

Using the expression above, if you want to find Equivalent Fractions, then you have to multiply the top and the bottom by any number.

For example, multiply the top and the bottom fraction by 5 and you get fractions that are equivalent to the original ones.

1) 15/45
2) 15/105
3) 48/75
4) 50/48
5) 5/50

Hope this helps you
If you need more examples just do it again multiplying with different numbers.

Equivalent Fractions

Question: Help on Customary Length Math Worksheet (easy 4 u guys I bet)?

I have a little trouble on how to do these cause I wasn’t in class

40 in. = ___?__ ft

I have a hard time with that one cause it dosen’t turn out even and if the answer is 13.333 idk how to put it on my worksheet.

Or you can answer:

How do you do the questions with a fraction by it (e.x 10 2/13 yd=_____ft) it’s even harder with just a fraction (e.x 1/8 mi= ______ft)

or you can answer how you do questions like these
16ft=__________yd______ft
75in=________ft_________in

You can help me with one of these questions or all 3. Please help I wasn’t in class.

Answer: In the first question there are 12 inches in one foot so if you have 40 inches all you have to do is divide 40 inches by 12 inches to give you 10/3 feet or 3.333 feet or 3 feet 4 inches.Remember that when you divide 40 inches by 12 inches you are canceling out the units. You are canceling inches which is what you want to do in order to get feet.

(40in/12in)(1ft) = 3.333 feet [the inches cancel out on the top and bottom and you are left with feet]

I’m unsure on how to do the next two problems but with the 3rd problem, you have to convert feet into yards. Remember that there are three feet in a yard so what you want to do is cancel your units in feet to get yards. Divide 16 feet by 3 feet to get 5.33333 yards and to convert back into feet multiply 5.33333 by 3 feet to get 16 ft. again.

[16ft/3ft][1yd] = 5.33333 yd ( the feet cancel out in the top and bottom of the problem and all you are left with are yards as your unit)

[5.33333yd/1yd][3feet] = 16 feet (the yards cancel out on the top and bottom and you are left with just feet)

For the next problem again, you have to know that there are 12 inches in one foot.Divide 75inches by 12 inches to cancel out the units and get feet:
[75in/12in][1ft] = 25/4 or 6.25 feet

[6.25ft /1ft][12in]= 75 inches

Math Fractions Simply Explained

Question: Attention Math Geniuses! I need help on a Math Calendar Problem! What is the area of the regular hexagon?

In my math class, we receive a worksheet with a math story problem for every day of the month. For the month of November, I have 29 questions correct, but I am continuously missing this one. Please show any work if you wish, and I can turn in one answer per day, so your guess can’t hurt. The problem is: The intersection of a unit cube and a plane passing through its center is a regular hexagon. What is the area of the regular hexagon?

Answer: hexagon’s side
= √(0.5^2+0.5^2)
= √2 /2

hexagon’s area
= 6 * (√2 /2)^2 * (sin π/3) * 1/2
= 6/4 * √3/2
= 3√3/4

How to Find the Surface Area of a Rectangular Prism