Question

Solve this simple ratio question?

Answer 1

Green Party:Blue Party `-> 1500:9000 -> (1 xx 1500):(6 xx 1500) ->`

`(1 xx color(red)(cancel(color(black)(1500)))):(6 xx color(red)(cancel(color(black)(1500)))) -> 1:6`

Answer 2

1:6

Explanation:

Work out the prime factors of each 1500 and 9000. Pick the common prime factors and multiply them together to find the Highest Common Factor. Then work out how many times the HCF goes into each number. The HCF is 1500 and it goes into 1500 1 times and it goes into 9000 6 times. Therefore the ratio simplifies from 1500:9000 to 1:6.

Answer 3

It is not uncommon to write ratios in fraction FORMAT. They are not fractions.

`"Green: Blue"->1:6`

Explanation:

`("Green party")/("Blue party") ->1500/9000`

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Note that the green party as a fraction would be `1500/(1500+90000)`

This is why ratios are not fraction (normally).
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`(15cancel(00))/(90cancel(00)) -> 15/90 ->(15-:5)/(90-:5) = (3-:3)/(18-:3)=1/6`