Question

The Diagram Shows a Fuel gauge in a Car.
(a) What fraction does the Gauge show?
(b) The fuel tank holds 48 litres when it is full. How many Litres must be added to fill the tank?

Answer 1

Halfway between 1/2 and 1/4 = halfway between 2/8 and 4/8. That's 3/8.
Galllons, 48 * 3 =144.
144 / 8 = 18.
There are 18 gallons left.
Does that help?

Answer 2

BTW, you need 30 litres to fill it up. Sorry for my scumbag American Imperial system.

Answer 3

Whatcu mean by "halfway between 2/8 and 4/8? Sorry, im TOTALLY "Sheit" in Maths!

Answer 4

How?

Answer 5

Alright, so 1/2 = 4 /8, right? And 1/4 is = 2/8 right? So, therefore, the needle is between 2/8 and 4/8.

Answer 6

eeeh.... I guess so. Ok so now what do we do with 2/8 and 4/8?

Answer 7

okay, so would you agree that 3/8 is in between those two values? if you don't. we can add them up and divide by 2, which tells us decisively that 3/8 is between 2/8 and 4/8.

Answer 8

let me add them and see... might take a minute or two xD

Answer 9

I'm sorry, did you not understand how I converted the fractions into eighths? If you didn't, I can help you out with that.

Answer 10

Yea i didn't. how did u make it 2/8 and 4/8 from 1/2 and 1/4?

Answer 11

Alright, so first off, to make 1/2 into 4/8, we have to multiply by one. I know, that seems crazy, but that's how it works.
\[\frac{ 1 }{ 2 } \times \frac{ 4 }{ 4 }\]
Is what we are doing here, and 4/4 is 1. To multiply fractions, we multiply by the top row together, and the bottom row together, and we end up with \[\frac{ 4 }{ 8 }\]
Do you understand this far?

Answer 12

Yes

Answer 13

Alright, so we are trying to make the bottoms the same, because fractions with different denominators (bottoms) don't add or subtract. Do you understand this?

Answer 14

If you don't understand, I can show you why.

Answer 15

Oh so u are simply making the Denominators same? I do something like this:
\[\frac{ 4\times1 }{ 4\times2 } + \frac{ 1\times2 }{ 4\times2 }\]

Answer 16

Yeah, all I'm doing is making the denominators the same.
That's a perfectly logical way to do it.

Answer 17

So now what we do with 4/8 and 2/8

Answer 18

So, to get the amount that is exactly in between 1/4 and 1/2, we have to convert them into common denominators.
The next thing we do is find out what is in the middle of them, because the needle is in the middle. We can figure it out by adding them together and dividing by 2 (or multiplying by 1/2)

Answer 19

\[\frac{ 4 }{ 8 } + \frac{ 2 }{ 8 } = \frac{ 6 }{ 8 }\]
\[\frac{ 6 }{ 8 } \times \frac{ 1 }{ 2 } = \frac{ 6 }{ 16 }\]

Answer 20

So the answer is:
\[\frac{ 3 }{ 8 }\]
Now how to find Litres?

Answer 21

Sorry, I got cut off.
We take 48 times our fraction.
\[\frac{ 48 }{ 1 }\times \frac{ 3 }{ 6 }\]
That equals
\[\frac{ 144 }{8 }\]
Now just do division. That's how many litres you have in the tank.

Answer 22

I just tried Dividing it while you were writing, i came up with 18. Now just gotta subtract 18 from 48 and that's the answer for (b)
= 30 Litres

Answer 23

THANKS ALOT!!!!!

Answer 24

Glad I could help!