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2007-05-25 07:29:31 · 6 answers · asked by randy h 1 in Science & Mathematics Mathematics

6 answers

(10/12) * (16/5) / (24/7) mutiply the fractions in the numerator first...
(10/12)*(16/5)=160/60 simplify to 8/3
(8/3)/(24/7) you can multply by reciprical of the bottom fraction...
(8/3)(7/24)=56/72 Simplify...
56/72=7/9

2007-05-25 07:36:43 · answer #1 · answered by JO 3 · 0 0

Since you seem to be starting with fractions, I'll not give you a lot of logic benind the process.

Forget "division" by fractions. Turn the one you're supposed to be dividing BY upside down.
10/12 x 16/5 ÷ 24/7 is then
10/12 x 16/5 x 7/24. Now all you have to do is multiply the top numbers together to get the new top number, and the bottom numbers together to get the new bottom number.

10x16=160
160x7=1120

12x5=60
60x24=1440

So your new fraction looks like
1120/1440

Now reduce it.
1120 = 20x56
1440 = 20x72, so
1120/1440=(20x56)/(20x72) = 20/20 x 56/72 =56/72 because 20/20 = 1 and 1x 56/72=56/72

Looks like I can go further.
56=8x7
72=8x9, so
1120/1440=56/72 = 7/9

Ok, I could have gone right from 1120/1440 to 7/9, but I didn't see it. It's no big thing. If you keep finding factors, you'll get there eventually. The easy factors are 10 (both numbers end in 0), 5 (both numbers end in 5), and 2 (both numbers are even), the rest are kind of trial and error. There will be some you kind of "get a feel for," but after these three, I'm pretty much trying stuff that looks good.

2007-05-25 14:59:42 · answer #2 · answered by gugliamo00 7 · 0 0

7 over nine because 10 times 16 =160, 12 times 5 =60, simplifies = 8 over 3. then multiply by the reciprocal of 24 7th to get the answer

2007-05-25 14:33:39 · answer #3 · answered by 123 2 · 1 0

10/12 * 16/5 / 24/7= 7/9

12becomes 3 and 16 becomes 4
10 becomes 2 and the 5 becomes 1

10/12* 16/5=8/3 / 24/7= 8/3 *7/24=
8 becomes1 and 24 becomes 3

2007-05-25 16:13:59 · answer #4 · answered by Dave aka Spider Monkey 7 · 0 0

(10/12) * (16/5) / (24/7) =

(10/12) * (16/5) * (7/24) =

(10 * 16 * 7)/(12 * 5 * 24) =

1120/720 =

14/9 or 14 9ths

2007-05-25 14:33:41 · answer #5 · answered by Dave 6 · 0 1

rounded up it is 0.78

2007-05-25 14:37:06 · answer #6 · answered by Amy 2 · 0 0

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