Question

Marneshia walked three over eight of a mile in three over five of an hour. What equation can be used to calculate her unit rate in miles per hour?

a

three eighths over three fifths = five eighths mile per hour


b

three eighths over three fifths = one and three fifths miles per hour


c

three fifths over three eights = one and three fifths miles per hour


d

three fifths over three eights = five eighths mile per hour

Answer 1

`(3)/(8) / (3)/(5) = (5)/(8)`

Explanation:

Given

`Distance =(3)/(8)`

`Time =(3)/(5)`

Required

Determine the unit rate

The unit rate is calculated as:

`Unit\ Rate = (Distance)/(Time)`

`Unit\ Rate = (3)/(8) / (3)/(5)`

Convert to multiplication

`Unit\ Rate = (3)/(8) * (5)/(3)`

`Unit\ Rate = (1)/(8) * (5)/(1)`

`Unit\ Rate = (5)/(8)`

Hence, the expression can be represented as:

`(3)/(8) / (3)/(5) = (5)/(8)`