The ratio of 5 3/5 to 2 1/10.
and the other one is:
THe ratio of 7 dimes to 3 quarters
2006-06-12 05:54:15 · 6 answers · asked by reesespieces60202 2 in Science & Mathematics ➔ Mathematics
1) Figure the ratio of 5 3/5 to 2 1/10
A ratio is division so you are essentially asking:
(5 3/5) / (2 1/10)
First convert them to improper fractions:
(28/5) / (21/10)
To divide fractions, invert and multiply:
(28/5) x (10/21)
Now you can cancel some common factors (28 = 4x7, 21=3x7)
(4/5) x (10/3)
And do the same with 5 and 10 (10 = 5x2):
(4/1) x (2/3)
Multiply across:
8/3
Convert answer back to mixed fraction:
2 2/3
2) The ratio of 7 dimes to 3 quarters:
7 dimes is 7 x10
70 cents
3 quarters is 3 x 25
75 cents
The ratio is:
70 / 75
Cancelling a common factor of 5 you have:
14/15
In summary:
1) 2 2/3
2) 14/15
2006-06-12 06:10:32 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
the first is 2 2/3:1
2006-06-12 13:17:21 · answer #2 · answered by maerylyn 1 · 0⤊ 0⤋
5 3/5 divided by 2 1/10
thus, 28/5 divided by 21/10
thus, 28/5 multiply with 10/21
thus, 4 multiply with 2/3
HENCE, = 8/3
HENCE, = 2 2/3
(sorry, couldnt find the symbols, it should be clearer
2006-06-12 13:00:49 · answer #3 · answered by mimi 2 · 0⤊ 0⤋
two and two thirds (2 2/3)
but I dont use dimes and quarters because I am from UK
mind you some people may think 8/3 is simpler
2006-06-12 13:14:31 · answer #4 · answered by MARTIN B 4 · 0⤊ 0⤋
3/5:2 1/10
7:3
2006-06-12 12:59:12 · answer #5 · answered by Pretty Hot and Tempting 2 · 0⤊ 0⤋
(5 3/5)/(2 1/10)
5 3/5 = (28/5)
2 1/10 = (21/10)
(28/5)/(21/10)
(28/5)*(10/21)
(280/105)
(56/21)
(8/3) or 2 2/3
ANS : (8/3) or (2 2/3)
---------------------------------------------
7dimes = 70
3 quarters = 75
(70/75)
(14/15)
ANS : (14/15)
2006-06-12 14:19:48 · answer #6 · answered by Sherman81 6 · 0⤊ 0⤋