Determine whether the pair of fractions is proportional: 5/8 ? 75/120
2007-01-19 08:46:38 · 16 answers · asked by Pushpendra C 1 in Science & Mathematics ➔ Mathematics
yes they are
both .625
just do it on a calculator
2007-01-19 08:49:02 · answer #1 · answered by Anonymous · 1⤊ 0⤋
One way to deal with this question is to reduce the fractions. 5/8 is already in lowest terms, so leave it alone. As for the other:
75=5*15 and 120=5*24, so 75/120=15/24 (cancelling the 5's).
Reduce further: 15=5*3 and 24=8*3, so 15/24 = 5/8 (cancelling the 3's).
So, 75/120 is written in lowest terms as 5/8. They are proportional.
Another way to check is to set up the proportion and see if it's true.
5/8=75/120 Cross-multiply to get
5*120 = 8*75
600 = 600. True!
(Note to professionals: "P implies True" does not imply P, so this last argument stands on debatable footing. A correct argument starts at 600=600 and ends at 5/8=75/120. What suggestions do you have on how to explain that clearly?)
2007-01-19 17:00:18 · answer #2 · answered by Doc B 6 · 0⤊ 0⤋
Yes
For example: Is 1/2 proportional to 2/4. The answer here is yes as well. In the 1/2, if you divide the 1 by the 2 you get the decimal .5, with the 2/4, if you divide the 2 by the 4 you also get .5. They are both equal and proportional.
By the same process with the 5/8; dividing the 5 by 8 you get the decimal .625, and dividing the 75 by 120 you also get .625. They are equal and proportional.
2007-01-19 16:57:40 · answer #3 · answered by robert k 2 · 0⤊ 0⤋
If you are not allowed to use a calculator u can set it up like this, since u said proportional i'm assuming your doing proportions. U could multiply across 5*120 & 8*75. 5*120=600 & 8*75 also equals 600. So, yes the fractions are proportional.
2007-01-19 16:56:53 · answer #4 · answered by Jessica S 2 · 0⤊ 0⤋
to determine if they are proportional all you have to do is simplify the terms. 5/8 is as simple as it can get but 75/120 can be simplified. they each have a common factor, 15. 75/15=5 and 120/15=8, so now the new term is 5/8 which is the same thus they are proportional.
2007-01-19 16:52:05 · answer #5 · answered by Beauregard B 2 · 0⤊ 0⤋
75/120 can be factored down by 5 into (75/5 = 15, 120/5 = 24).
15/24 can then be factored by 3 (15/3 = 5, 24/3 = 8).
Thus 5/8 = 5/8.
2007-01-19 16:54:22 · answer #6 · answered by burkehud 2 · 0⤊ 0⤋
I'm assuming this is homework, so here is how you would solve it not using a calculator. You need to find the common denominator. 8x15 is 120, so then multiply 5x15 to get 75. Now you can see that the fractions are equal. You can also reduce the second fraction by dividing denominator and numerator by 15.
2007-01-19 16:52:50 · answer #7 · answered by KS 7 · 0⤊ 0⤋
Yes. If you have a pair of fractions: a/b c/d, to see if they are proportional, multiply a times d. Then multiply b times c. If the products are equal, the fractions are proportional. In this case, 5x120=8x75.
2007-01-19 17:01:05 · answer #8 · answered by kathyw 7 · 0⤊ 0⤋
5/8=75/120=0.625
2007-01-19 16:49:49 · answer #9 · answered by Eyad E 3 · 0⤊ 0⤋
Yes, they are. The second fraction is derived from
the first by multiplying numerator and denominator by 15.
2007-01-19 17:14:47 · answer #10 · answered by steiner1745 7 · 0⤊ 0⤋
Yes. it is the exact same fraction
2007-01-19 16:52:28 · answer #11 · answered by H.B.K. 2 4 · 0⤊ 0⤋