Question

Express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

Please show your work.

Answer 1

anyone yet?

Answer 2

How many seconds in 30 minutes?

Answer 3

umm 1800?

Answer 4

hello?

Answer 5

Yes. 1800 so put 45 over 1800 and reduce it.

Answer 6

how do i reduce it?

Answer 7

Could you reduce this fraction:
\[\frac{9}{12}\]

Answer 8

no?

Answer 9

Can you think of a factor that goes into 9 and also into 12?

Answer 10

idk im terrible at math...

Answer 11

Do you know your multiplication tables?

Answer 12

yes

Answer 13

\[\frac{45}{1800} \div\frac{45}{45}=\frac{45\div45}{1800\div \div45}=\frac{1}{40}\]

Answer 14

thanks man

Answer 15

one method to reduce a fraction is to 'simplify' the numerator and the denominator by factoring them into prim numbers . then the common factors will cancel

for \[\frac9{12}\]
we go like this
\[\frac9{12}=\frac{3\times3}{3\times4}=\frac{\cancel{3\times}3}{\cancel{3\times}4}=\frac34\]

Answer 16

lets find the prime factors of 45 (one at a time)

Answer 17

so we see that 45=3x3x5

Answer 18

now lets factorise 1800

Answer 19

ok i get it

Answer 20

can you do the next bit?