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1 Answer

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Answer:

See Explanation

Explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):


Ratio = (2)/(7)

Multiply through by 2


Ratio = (2*2)/(7*2) = (4)/(14)

Multiply through by 3


Ratio = (2*3)/(7*3) = (6)/(21)

Multiply through by 5


Ratio = (2*5)/(7*5) = (10)/(35)

Hence, the equivalents are:
(4)/(14), (6)/(21), (10)/(35)

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2


Ratio = 1.5 * 2\ to\ 3.5 * 2


Ratio = 3\ to\ 7

Multiply by 3


Ratio = 1.5 * 3\ to\ 3.5 * 3


Ratio = 4.5\ to\ 10.5

Multiply by 4


Ratio = 1.5 * 4\ to\ 3.5 * 4


Ratio = 6\ to\ 14

Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5


Ratio = 6.25/5\ to\ 1.25/5


Ratio = 1.25\ to\ 0.25

Multiply by 2


Ratio = 6.25*2\ to\ 1.25*2


Ratio = 12.5\ to\ 2.5

Multiply by 4


Ratio = 6.25*4\ to\ 1.25*4


Ratio = 25\ to\ 5

Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):


Ratio = 3 : 3(1)/(2)

Multiply by 2


Ratio = 3 *2: 3(1)/(2)*2


Ratio = 6: 7

Multiply by 4


Ratio = 3 *4: 3(1)/(2)*4


Ratio = 12: 14

Multiply by 6


Ratio = 3 *6: 3(1)/(2)*6


Ratio = 18: 21

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)


Ratio = 1(2)/(3) : (5)/(4)

Convert mixed fraction to improper fraction


Ratio = (5)/(3) : (5)/(4)

Multiply by 2


Ratio = (5)/(3)*2 : (5)/(4)*2


Ratio = (10)/(3) : (5)/(2)

Multiply by 3


Ratio = (5)/(3)*3 : (5)/(4)*3


Ratio = 5 : (15)/(4)

Multiply by 12


Ratio = (5)/(3)*12 : (5)/(4)*12


Ratio = 20 : 15

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

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