Question

The arena set-up team’s work schedule is shown in the table below. Convert the minutes worked into hours.

Staff Member Minutes Worked Hours Worked
converting hours into fractions
Mike Chewer 870


Jennifer Glass 225


Fred Carlton 75


Amy Amaretto 720

Answer 1

`Mike\ Chewer = 14(1)/(2)\ hr`

`Jennifer\ Glass = 3(3)/(4)\ hr`

`Fred\ Carlton = 1(1)/(4)\ hr`

`Amy\ Amaretto = 12\ hr`

Explanation:

Given

`Mike\ Chewer = 870\ minutes`

`Jennifer\ Glass = 225\ minutes`

`Fred\ Carlton = 75\ minutes\\`

`Amy\ Amaretto = 720\ minutes`

Required

Convert to hours (in fraction)

To do this, we simply divide the time by 60

`Mike\ Chewer = 870\ minutes`

Divide by 60

`Mike\ Chewer = (870)/(60)\ hr`

`Mike\ Chewer = (87)/(6)\ hr`

Express as mixed numbers

`Mike\ Chewer = 14(3)/(6)\ hr`

Simplify

`Mike\ Chewer = 14(1)/(2)\ hr`

`Jennifer\ Glass = 225\ minutes`

Divide by 60

`Jennifer\ Glass = (225)/(60)\ hr`

Express as mixed numbers

`Jennifer\ Glass = 3(45)/(60)\ hr`

Simplify

`Jennifer\ Glass = 3(3)/(4)\ hr`

`Fred\ Carlton = 75\ minutes\\`

Divide by 60

`Fred\ Carlton = (75)/(60)\ hr`

Express as mixed numbers

`Fred\ Carlton = 1(15)/(60)\ hr`

Simplify

`Fred\ Carlton = 1(1)/(4)\ hr`

`Amy\ Amaretto = 720\ minutes`

Divide by 60

`Amy\ Amaretto = (720)/(60)\ hr`

`Amy\ Amaretto = 12\ hr`