A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hour?
A: 2/12 / 1/6
B:5/2 / 1/6
C:1/6 / 5/2
D:1/6 / 2 1/2

Respuesta :

[tex]\frac{2\frac{1}{2}\ miles}{\frac{1}{6} \ hour}=\frac{\frac{5}{2}}{\frac{1}{6}}[/tex]

Answer B

The complex fraction represents the unit rate in miles per hour is option (B)  [tex]\frac{5}{2} /\frac{1}{6}[/tex]

What is distance?

Distance is a numerical measurement of how far apart objects or points are.

What is unit rate?

A unit rate means a rate for one of something

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit

Distance travelled = [tex]2\frac{1}{2} =\frac{5}{2}[/tex] miles

A sailboat travels a distance of [tex]\frac{5}{2}[/tex] miles in [tex]\frac{1}{6}[/tex] of an hour

Therefore, unit rate in miles per hour = [tex]\frac{5}{2} /\frac{1}{6}[/tex]

Hence, the complex fraction represents the unit rate in miles per hour is option (B)  [tex]\frac{5}{2} /\frac{1}{6}[/tex]

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