Help with maths homework - fractions?

Question

Ok i have maths problem involving fractions. Here is the question:

Table mats are 3/8 of a cm thick.
a) How tall would a vertical stack of 40 of these table mats be?
b) A box is made to store the table mats vertically. The box is 24 cm high. How many table mats will the box be able to store?

I know that question (a) is asking me to find 3/8 of 40 but i dont know how to do question (b). Can anyone solve this? if so could you please show your workings out so that i know how to do it. thanks.

Answer 1

OK, let's go through it all:

1 mat is 3/8 cm thick

Therefore 40 mats in a vertical stack is 40 x 3/8 = 15 cm tall

Now you have to turn the question round. If 1 mat is 3/8 cm thick then the question is asking how many 3/8 are there in 24. So we have:

24 divided by 3/8. Using the rule 'when dividing by a fraction turn it upside down and multiply' gives:

24 x 8/3 = 64

Since the answer here is a whole number, the answer to part (b) is:

A box 24cm high will hold 64 table mats, each 3/8 cm thick.

You could add if you wanted to be a smarty pants that the answer assumes the length and width of the table mats are the same as the internal length and width of the box. In fact I would give you an extra mark because this is an important assumption or condition and you need to quote these a lot in higher maths.

Best of luck

Answer 2

Question A is actually 3/8 times 40 . so the sum would be 3 over 8 times 40 over 1 which is 120 over 8 which is 15 over 1 . there fore the stack of mats would be 15Cm's tall.
Question B is 24 divided by 3/8 . Reverse the 3 over 8 to 8 over 3 as we are now dividing times the 24 over 1 This is 192 over 3 which is 64.. so you could get 64 mats of 3/8cm in a 24cm. box.

Answer 3

1. 3/8x40/1=120/8=15 inches tall.
2. For every time 3/8 goes into 24 you will have a table mat.24/1divided by 3/8=24/1x8/3=192/3=64 table mats. Remember the divisor must be inverted.

Answer 4

your 1 q)

thickness of the mat is=3/8cm
there are 40 such mats piled vertical
therefore =3/8*40=15cm

2 q)

how many mats box is made to store the table mats vertically .=24/(thickness of the mat)
=64 mats can be stored

Answer 5

Get a ruler on your palms. degree issues until eventually you start to comprehend the way a ruler works. degree some stuff and decide the place the middle is. Say you degree a e book and it is 7/8" thick. You examine out your ruler and notice that each and each 8th is split into 2 sixteenths, so needless to say a million/2 of 7/8" is going to be 7/sixteen". in case you write that out you have a million/2 x 7/8 = 7/sixteen. and you notice that a million/2 is split into 2/4 and then into 4/8 and so on, so which you will convert something to something via multiplying each and all of the numbers on appropriate and then each and all of the numbers on backside. different rulers are divided into 10 and a hundred areas. yet an inch continues to be and inch, so something on one ruler would nicely be translated to the different ruler. A a million/2 inch on one ruler is 5/10 or 50/a hundred on the different. An 8th inch is only 12.5 marks once you have a hundred marks according to inch. A metric ruler divides an inch into 25.4 areas, so a a million/2 inch may well be 12.7 of those areas. rather hassle-free, isn't it? so which you examine out that situation and you notice 2 3/4 inches minus a million a million/3 inches. in case you do away with the a million you have a million 3/4 minus a million/3. you notice which you prefer a ruler divided into 12ths for this, and which will become a million 9/12 minus 4/12 this is a million 5/12. With a touch prepare you're able to do this throughout the time of your head.

Answer 6

a) its asking how tall it would be length wise from head to toe up and down. What you do is multiply 3/8 X 40.
b)i guess you would divide it so 24 divided by 3/8 which would = to 24 X 8/3

Answer 7

a) 40*(3/8) = (40*3)/8
= (5*8*3)/8, cancel the 8's
= 15 cm.

b) 24 / (3/8). write as

24 * (8/3), or multiply by reciprocal
= (24*8)/3
= (3*8*8)/3, cancel the 3's

= 64 mats.

Answer 8

40 would be 15cm high. Using just this fact we can say that 8 will be 3cm tall/high (the common factor between 40 and 15 is 5), therefore , 24 divided by 3(=8), then multiplied by 8 will give you your answer (8*8=64).

Answer 9

A. 3/8 x 40

B. 24 divided by 3/8

In other words:

A. 15 cm
B. 64 mats

I think.

Answer 10

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