Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

What is 7/8 divided by 3/4?

Put it into the lowest term!

and what is 2/3 divided by 5/6? put in lowest term!

Thanks in advance!!!!!!!!!

Original post by sully50sully

Put it into the lowest term!

and what is 2/3 divided by 5/6? put in lowest term!

Thanks in advance!!!!!!!!!

do 7/8 and then flip the 3/4 and multiply by the numerator and denominator.

Original post by sully50sully

Put it into the lowest term!

and what is 2/3 divided by 5/6? put in lowest term!

Thanks in advance!!!!!!!!!

If you were to take 16 things and divide it amongst 8 people, you'd get 2; if you divided it amongst 2 people, you'd get 8. So clearly if you divide by x, and then divide by x/4, you get four times the first answer.
So what we want is 4 times (7/8 divided by 3).
Now, if we took 48 things and divided it by 3, we'd get 16; if we took 6 things and divided it by 3, we'd get 2. So clearly if you divide x by 3, and then divide x/8 by 3, we get an eighth of the original answer.
So 4 times (7/8 divided by 3) = 4 times 1/8th of (7 divided by 3). But 4 times 1/8th of anything is 1/2 of that thing.
Hence we want 1/2 of (7 divided by 3).
(In practice, you wouldn't use such a longwinded method; Music99's is a handy shortcut that once you're familiar with why it works, you would use all the time.)

Original post by sully50sully

Put it into the lowest term!

and what is 2/3 divided by 5/6? put in lowest term!

Thanks in advance!!!!!!!!!

As Music99 has shown, dividing fractions is easy. You flip the one you're dividing by upside down, then multiply.

\frac{a}{b} \div \frac{c}{d} \\ = \frac{a}{b} \times \frac{d}{c} \\ = \frac{ad}{bc}

For example. 1/2 divided by 3/4 is:

\frac{1}{2} \times \frac{4}{3} \\ = \frac{4}{6} = \frac{2}{3}

OP

Original post by Music99

do 7/8 and then flip the 3/4 and multiply by the numerator and denominator.

I worked out 2/3 divided by 5/6 and I got 12/15 but on my maths it says that its wrong

Original post by sully50sully

I worked out 2/3 divided by 5/6 and I got 12/15 but on my maths it says that its wrong

That's correct.

\dfrac{12}{15} = \dfrac{4}{5} = 0.8

Hopefully one of those answers is on mymaths

what exam is this for? gcse?

OP

Original post by chapmouse

That's correct.

\dfrac{12}{15} = \dfrac{4}{5} = 0.8

Hopefully one of those answers is on mymaths

Yes 4/5 is right but how did you get from 12/15 to 4/5 ?

OP

Original post by SamTheMan95

what exam is this for? gcse?

Yes for GCSE I've started revising already!!!!

Original post by sully50sully

Yes 4/5 is right but how did you get from 12/15 to 4/5 ?

You can simplify the fraction. What number goes into both 12 and 15?

OP

Original post by cpdavis

You can simplify the fraction. What number goes into both 12 and 15?

3 now i get it :biggrin:

:biggrin:

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