Question

Randy, Oliver, and Sonya were working on the problem below.

Jenny’s house is 4/7 of a mile from the bus stop. If Jenny had to run ⅔ of the way from her house to the bus stop, what portion of a mile did Jenny run? Did Jenny run more or less than half a mile?
a) Jenny ran 8/21 of a mile, which is less than half a mile.
b) Jenny ran 8/21 of a mile, which is more than half a mile.
c) Jenny ran 16/21 of a mile, which is more than half a mile.
d) Jenny ran 16/21 of a mile, which is less than half a mile.

Answer 1

Jenny ran 8/21 of a mile, which is less than half a mile.

Step-by-step explanation:

To find out what portion of a mile Jenny ran, we need to multiply the distance from Jenny's house to the bus stop (4/7 of a mile) by the fraction representing the distance she ran. Since Jenny ran ⅔ of the way from her house to the bus stop, we multiply 4/7 by 2/3:

(4/7) x (2/3) = 8/21 of a mile

Therefore, Jenny ran 8/21 of a mile. This fraction is less than half a mile, so the correct option is a) Jenny ran 8/21 of a mile, which is less than half a mile.