Question

Find the Unit Rate

1) 21 3/4 meters in 2 1/2 hours
2) 2857 points in 1487 games
3) 255 strikeouts in 204 innings
4) 15 errors in 1,000,000 pieces
5) 5979 points in 179 career playoff games

Answer 1

1)
`8.7\ (meters)/(hour)`

2)
`1.92\ (points)/(game)`

3)
`1.25\ (strikeouts)/(inning)`

4)
`1.5*10^(-5)\ (error)/(piece)`

5)
`33.40\ (points)/(career\ playoff\ game)`

Explanation:

1) Convert mixed numbers to decimal numbers dividing the numerator by the denominator and adding the result to Whole number part:

`21+0.75=21.75\\\\2+0.5=2.5`

The unit rate is:

`Unit\ rate=(21.75\ meters)/(2.5\ hour)\\\\Unit\ rate=8.7\ (meters)/(hour)`

2) Divide 2,857 points by 1,487 games:

`Unit\ rate=(2,857 \ points)/(1,487\ games)\\\\Unit\ rate=1.92\ (points)/(game)`

3) Divide 255 strikeouts by 204 innings:

`Unit\ rate=(255\ strikeouts)/(204\ innings)\\\\Unit\ rate=1.25\ (strikeouts)/(inning)`

4) Divide 15 errors by 1,000,000 pieces:

`Unit\ rate=(15\ errors)/(1,000,000\ pieces)\\\\Unit\ rate=1.5*10^(-5)\ (error)/(piece)`

5) Divide 5,979 points by 179 career playoff games:

`Unit\ rate=(5,979\ points)/(179\ career\ playoff\ games)\\\\Unit\ rate=33.40\ (points)/(career\ playoff\ games)`