Which ratios form a proportion?
A) 4/5, 20/25******
B) 8/12, 18/24
C) 1/3, 7/24
D) 2/5, 6/16
yes 4/5 = 20/25 = 4*5 / 5*5
B) 8/12, 18/24
no 8/12 = 16/24
C) 1/3, 7/24
no 1/3 = 8/24
D) 2/5, 6/16
no 2/5 = 6/15
Thank you!
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To determine which ratios form a proportion, we need to check if the ratios are equal. Remember that two ratios are said to be proportional if the product of the means is equal to the product of the extremes.
Let's check each option:
A) 4/5 and 20/25
To determine if these ratios form a proportion, we need to check if (4/5) * (25/20) is equal to (20/25) * (5/4).
Simplifying the calculations, we have:
(4/5) * (25/20) = (4*25) / (5*20) = 100/100 = 1
(20/25) * (5/4) = (20*5) / (25*4) = 100/100 = 1
Since the two products are equal, the ratios 4/5 and 20/25 form a proportion.
B) 8/12 and 18/24
Applying the same process as before, we have:
(8/12) * (24/18) = (8*24) / (12*18) = 192/216
(18/24) * (12/8) = (18*12) / (24*8) = 216/192
These two products are not equal, so the ratios 8/12 and 18/24 do not form a proportion.
C) 1/3 and 7/24
Calculating the products, we have:
(1/3) * (24/7) = (1*24) / (3*7) = 24/21
(7/24) * (3/1) = (7*3) / (24*1) = 21/24
These two products are not equal, so the ratios 1/3 and 7/24 do not form a proportion.
D) 2/5 and 6/16
Calculating the products, we have:
(2/5) * (16/6) = (2*16) / (5*6) = 32/30
(6/16) * (5/2) = (6*5) / (16*2) = 30/32
These two products are not equal, so the ratios 2/5 and 6/16 do not form a proportion.
Therefore, the correct answer is option A, as the ratios 4/5 and 20/25 form a proportion.