ratio, proportion, and
rates of change
Section 44-53
,reducing ratios to their simplest form
typical questions will require you to divide each side by the same thing
for example, writing 15:18 in its simplest form
the highest common factor for both numbers in 3 so we divide both sides by 3
this leaves us with 5:6 which is the simplest form.
,trickier examples
we may also be given examples with decimals involved
for example, 2.4:3.6
in this case we multiply the numbers by 10, to make them whole numbers,
24:36
from here we follow the same process of finding the highest common factor
and dividing it
ANSWER:
2:3
, tricker examples
we also may have to deal with mixed units
for example, 24mm:7.2cm
in this case we have to put them in the same unit, ideally we want to get rid
of the decimal to make it easier for us later on
this will leave us with 24mm:72mm
we can now cancel this down as normal
this leaves us with 1:3
rates of change
Section 44-53
,reducing ratios to their simplest form
typical questions will require you to divide each side by the same thing
for example, writing 15:18 in its simplest form
the highest common factor for both numbers in 3 so we divide both sides by 3
this leaves us with 5:6 which is the simplest form.
,trickier examples
we may also be given examples with decimals involved
for example, 2.4:3.6
in this case we multiply the numbers by 10, to make them whole numbers,
24:36
from here we follow the same process of finding the highest common factor
and dividing it
ANSWER:
2:3
, tricker examples
we also may have to deal with mixed units
for example, 24mm:7.2cm
in this case we have to put them in the same unit, ideally we want to get rid
of the decimal to make it easier for us later on
this will leave us with 24mm:72mm
we can now cancel this down as normal
this leaves us with 1:3
