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

Answer:

$\frac{3}{8} / \frac{3}{5} = \frac{5}{8}$

Step-by-step explanation:

Given

$Distance =\frac{3}{8}$

$Time =\frac{3}{5}$

Required

Determine the unit rate

The unit rate is calculated as:

$Unit\ Rate = \frac{Distance}{Time}$

$Unit\ Rate = \frac{3}{8} / \frac{3}{5}$

Convert to multiplication

$Unit\ Rate = \frac{3}{8} * \frac{5}{3}$

$Unit\ Rate = \frac{1}{8} * \frac{5}{1}$

$Unit\ Rate = \frac{5}{8}$

Hence, the expression can be represented as:

$\frac{3}{8} / \frac{3}{5} = \frac{5}{8}$