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

Respuesta :

Answer:

[tex]\frac{3}{8} / \frac{3}{5} = \frac{5}{8}[/tex]

Step-by-step explanation:

Given

[tex]Distance =\frac{3}{8}[/tex]

[tex]Time =\frac{3}{5}[/tex]

Required

Determine the unit rate

The unit rate is calculated as:

[tex]Unit\ Rate = \frac{Distance}{Time}[/tex]

[tex]Unit\ Rate = \frac{3}{8} / \frac{3}{5}[/tex]

Convert to multiplication

[tex]Unit\ Rate = \frac{3}{8} * \frac{5}{3}[/tex]

[tex]Unit\ Rate = \frac{1}{8} * \frac{5}{1}[/tex]

[tex]Unit\ Rate = \frac{5}{8}[/tex]

Hence, the expression can be represented as:

[tex]\frac{3}{8} / \frac{3}{5} = \frac{5}{8}[/tex]