Jill drives 75 1/3 miles every hour.how many miles can Jill drive in 8 3/4 hours?

[tex]75\frac{1}{3}\ miles\ in\ 1\ hour\\\\ x\ miles\ in\ 8\frac{3}{4}\ hours\\\\ making\ cross\ multiplication\\ 75\frac{1}{3}*8\frac{3}{4}=x\\\\ x=\frac{226}{3}*\frac{35}{4}=\frac{7910}{12}=659\frac{1}{6}miles\\\\ Jill\ can\ drive\ 659\frac{1}{6}miles[/tex]

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JackelineCasarez JackelineCasarez · Answer 2 · 2019-03-04T06:22:47-05:00

Answer:

Distance travelled in [tex]8 \frac{3}{4}[/tex] hours is 659.17 miles .

Step-by-step explanation:

As given

Jill drives [tex]75 \frac{1}{3}[/tex] miles every hour .

i.e

Jill drives [tex]\frac{226}{3}[/tex] miles every hour .

Now find out the distance travelled in [tex]8 \frac{3}{4}[/tex] hours .

[tex]Distance\ travelled = 8 \frac{3}{4}\times miles\ travelled\ every\ hour[/tex]

[tex]Distance\ travelled =\frac{35}{4}\times \frac{226}{3}[/tex]

[tex]Distance\ travelled =\frac{7910}{12}[/tex]

Distance travelled = 659.17 miles (Approx)

Therefore distance travelled in [tex]8 \frac{3}{4}[/tex] hours is 659.17 miles .