How to write in simplest form?

Question

1. How to write in simplest form?

The ratio of 5 3/5 to 2 1/10
and
The ratio of 7 dimes to 3 quarters

what if one person took 3 hours (h) to mow a lawn while another took 150 minutes (min) to mow the same lawn a week earlier. What is the ratio of both times as a ratio of whole numbers.

Answer 1

In each case, you want the two parts of the ratio to be (1) whole numbers, (2) in lowest common terms, and (3) with identical units.

In the first case, if we convert each mixed number to an improprer fraction, we get the 28/5 : 21/10. Multiplying both parts by 10 gives 56 : 21, and then you can divide top and bottom by 7, giving 8:3 as your final ratio.

The easiest way to do the second problem is to think of both in terms of cents: a ratio of 70:75, which can be reduced to 14:15.

Finally, 3 hours is 180 minutes (3*60 = 180), and 180:150 reduces to 18:15 which reduces further to 6:5.

Hope that helps. Make sure you understand the process, and can repeat it yourself without looking! :)

Answer 2

5 3/5 = 28/5 or 56/10
2 1/10 = 21/10
Multiply both sides by 10 we get ratio of 56:21
Divide both sides by 7 we get 8:3

70:75 is same as 7:7.5
Doubling this we get 14:15

3 hours = 180 minutes
So ratio is 180:150 which is 18:15 divide by 3 = 6:5

Answer 3

1. 5 3/5: 2 1/10 = 28/5:21/10 = 56/10:21/10 = 56 : 21 = 8 : 3
7*(.1) : 3 *(.25) = .70 : .75 = 14 : 15

2. 3 hours = 3 X 60 min = 180 min

180 min : 150 min = 6:5

Answer 4

(a) 53/5 = 28/5 = 56/10 and 2 1/10 = 21/10
56/10 : 21/10 (Divide by 10).
56 : 21 (Divide by 7).
8 : 3

(b)
70 : 75
14 : 15 (Divide by 5).

(c)
180min. : 150min.
18 : 15 (Divide by 10).
6 : 5 (Divide by 3).

Answer 5

5 3/5 = 28/5
2 1/10 = 21/10

(28/5)/(21/10)
(28/5)*(10/21)
(280/105)
(56/21)
(8/3)
2 2/3

-------------------

7 dimes = 70 pennies
3 quarters = 75 pennies

(70/75)
(14/15)

---------------------------------

3 hours = 180 minutes
or
150 = 2.5 hours

2 1/2 = 5/2

3/(5/2)
(3/1)/(5/2)
(3/1)*(2/5)
(6/5)

Answer 6

the ratio symbol is colon ":" so i think it would be 7 dimes:3quarters

And the second question i dont know about the whole numbers but i think in hours its 3:2.5(2.5 for 150 mins.)

Answer 7

The correct answer is A. Both A and D equal 0.85. However 17/20 is a more simplified form of the fraction 85/100. This is because 17x5=85 and 20x5=100. B and C do not equal 0.85.

Answer 8

8/3

14/15

6/5

Answer 9

4:3

14:15

6:5

Answer 10

18:7

14:15

6:5