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ratio
forms of ratio
examples
1. 2 : 6
solution
2 : 6
reduce the quantities to the lowest term by a digit acceptable to both. 2 is acceptable.
2 : 6
= 6 / 2
= 1 : 3
2. 4minutes : 20minutes
solution
4min : 20min
= 2 : 10
= 1 : 5
ratio or fraction has no unit. Always change the quantities to the same unit and cancel out
3. 2hours : 40minutes
solution
2hours : 40minutes
1hr = 60minutes
2hr = ( 2 * 60 )minutes
= 120minutes
2hr = 40min
120min : 40min
120 : 40
60 : 20
30 : 10
15 : 5
3 : 1
4. Decrease $100.00 in the ratio of 2 : 5
solution
2 * 100
5 1
= 200
5.
= $40
5. Increase $100 in the ratio of 2 : 5
solution
5 * 100
2 1
= 500
2
= $250
6. Wendy and Roseline shares 200
buttons in the ratio of 2 : 3. How many
buttons does each get?
solution
Wendy ratio = 2
Roseline ratio = 3
Total ratio = 5
the total ratio = 5
the buttons shared = 200
5 = 200 buttons
5
Wendy = 2 = 2 * 200
5 5 1
= 400
5
= 80 buttons
Roseline = 3 = 3 * 200
5 5 1
= 600
5
= 120 buttons
7. Aunt Mary shared $120 among her three sisters, Commie, Rosie and Paulie.If the money was shared by the ratio of their ages, 3 : 4 : 5. How much did Rosie get?
solution
Commie ratio = 3
Rosie ratio = 4
Paulie ratio = 5
Total ratio = 12
All the money shared = $120.00
Total ratio shared = 12
Rosie's money = 4 * 120
12 1
= 480
12
= $40
8. Express 45% in ratio terms
solution
percentage( % )
1% = 1
100
45% = 45 * 1
1 100
= 45
100
= 9
20
= 9 : 20
9. What is 0.5 in ratio terms?
solution
the number place value of 0.5 is
5 tenth
0.5 = 5
10
= 1
2
= 1 : 2