1688/300

how do I work this out by hand? no calculator...

Question

1688/300

how do I work this out by hand? no calculator...

terenzreignz · Answer

$$\Large \frac{1688}{300}$$
It's best we go slowly, cancel out common factors one at a time...
Could you name a common factor between 1688 and 300?

anonymous · Answer

ok thanks

anonymous · Answer

2

anonymous · Answer

so divide both by 2

terenzreignz · Answer

Yup. we get...
$$\Large \frac{\cancel{1688}^{844}}{\cancel{300}^{150}}=\frac{844}{150}$$
Any more common factors?

anonymous · Answer

sorry it should of been

300/1688

terenzreignz · Answer

Doesn't matter, let's just reverse them
$$\Large \frac{300}{1688}= \frac{150}{844}$$
Any more common factors?

anonymous · Answer

4

terenzreignz · Answer

4 is not a factor of 150, is it?

anonymous · Answer

no it isnt

terenzreignz · Answer

So not 4. Anything else?

anonymous · Answer

2

terenzreignz · Answer

My advice at this stage, keep it simple, and stick to primes...

terenzreignz · Answer

Okay, 2 again.
$$\Large \frac{\cancel{150}^{75}}{\cancel{844}^{422}}=\frac{75}{422}$$
Any more common factors?

anonymous · Answer

yep, now we get into decimals is that right?

terenzreignz · Answer

You're supposed to get it into decimals? D:

anonymous · Answer

2 again would give

37.5/211

terenzreignz · Answer

I'd have thought we should stop at 75/422

anonymous · Answer

so is that the answer?

anonymous · Answer

I need to know what it is all the way down to decimal, how do I prove it down to 0.17

anonymous · Answer

its too hard right.

anonymous · Answer

thanks I have it sorted, my lecturer said I can manipulate the numbers by rounding up and down, I can square it up by making the 1st one

300/1700

which is easier, could you help from there.

terenzreignz · Answer

I guess. There's a pretty obvious common factor between these two.
(HINT: They both end with a double zero)

anonymous · Answer

100

anonymous · Answer

3/17

terenzreignz · Answer

Those are both prime, but I take it you can handle it from there?

anonymous · Answer

I guess I could make it 4/16 by what my lecturer is saying??

anonymous · Answer

or 3/15

anonymous · Answer

1/3

0.33

terenzreignz · Answer

I don't know what you're allowed/supposed to do with it.
As far as I know, 3/17 is simplified enough

anonymous · Answer

yep thanks I can do long division from there. 3/17 is 0.17 I know how to arrive at that answer thankyou.

terenzreignz · Answer

Okay then. ^_^