The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determined. (Show complex fraction setup.)

Respuesta :

Answer: [tex]2\dfrac13\text{ miles per hour}[/tex]

Step-by-step explanation:

Given: Distance traveled by Smith = [tex]\dfrac23[/tex] mile.

Time taken = [tex]\dfrac27[/tex]  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

[tex]=\dfrac23\div\dfrac27[/tex]

[tex]\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}[/tex]

Unit rate  = [tex]2\dfrac13\text{ miles per hour}[/tex]