Practicing for mocks - need help with ratio/fraction question

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[kindred bison]

no clue what to do really

[low field]

try scale the right side of the fractional ratio to be 1, then multiply the left side of the fractional ratio by the same scale factor

so take the reciprocal of 2/3, and multiply the left side of the fractional ratio by that. and it should be your answer

[kindred bison]

so would I need to get it to be a integer since its x:1?

[low field]

so you have ur ratio:
1/2:2/3 = x:1

the reciprocal of 2/3 is 3/2, so multiply 2/3 by 3/2 to equal 1

however, whatever you do to one side of your ratio, you must do to the other.

so you multiply 1/2 by 3/2:
(1x3=3)/(2x2=4)

so your new ratio would be:
3/4:1 = x:1

so x = 3/4

a reciprocal is just the fraction flipped

so 1/2 would have the reciprocal of 2/1

[kindred bison]

oh, why do you have to flip the other?

[low field]

a reciprocal is the number that you need to multiply your original number by to get 1

so if you multiply 1/2 by 2/1 it equals 1

same for 2/3 multiplied by 3/2, to equal 1

but to keep the ratio true, you need to multiply both sides of it, which gives you the value 3/4

[kindred bison]

ah ok thank you

[left isle]

@kindred bison has given 1 rep to @low field

[low field]

thanks - do you understand it all?

[kindred bison]

yeah, i understand where the fraction you have to flip it to get 1 but in this case you multiply it together and flip the other one as its in a ratio

[low field]

if i were you - look up another ratio question and try a few so solidify the skills

best way to revise is to learn and then keep testing the new knowledge

[kindred bison]

yeah, the problem is when I did there wasnt any with fractions s

[low field]

are you doing ur gcses?

[kindred bison]

no not now im in year 10 next year I will

[low field]

do you know which exam board?

i’ll have a look for you

[kindred bison]

aqa

[low field]

try this - slightly different, but same principle

[low field]

give it to 2 d.p.^

[kindred bison]

I got 1.71 not sure if its correct

[low field]

i got something different, what did you do to reach that?

[kindred bison]

i did 3/1 : 7/8 then did 3/1 x 8/7 to get 24/7 then divded by 2 to get 1.71:1

[low field]

almost, you’d multiply 3 by 2x(8/7) to get the answer

because it’s not x:1, it’s x:2

[kindred bison]

oh so just 3x8/7 and then times that by 2

I thought you had to put the 1 under the 3 to make it a fraction so its easier to times it

[somber totem]

You don't need to multiply it by 2 oh wait, I've mistaken

[low field]

you can do, however you prefer working

but yes that’s how it’s done

👏

[kindred bison]

wdym prefer workingV

[low field]

however you prefer doing it

if you want to put the /1 to make it easier then 100% do it

[kindred bison]

what way did you do it differently?

[low field]

i just left out the /1

[kindred bison]

ah ok

thanks

[low field]

anytime

[kindred bison]

+close