Greg has driven for 2 1/4 hours. Diana has driven for 3 1/5 hours, Abby has driven for 1 1/2 hours, and Jason has driven for 2 1/60 hours how many hours have they driven all together?

Step-by-step explanation:

Greg has driven for 2 1/4 hours. Converting 2 1/4 hours to improper fraction, it becomes 9/4 hours.

Diana has driven for 3 1/5 hours. Converting 3 1/5 hours to improper fraction, it becomes 16/5 hours.

Abby has driven for 1 1/2 hours. Converting 1 1/2 hours to improper fraction, it becomes 3/2 hours.

Jason has driven for 2 1/60 hours. Converting 2 1/60 hours to improper fraction, it becomes 121/60 hours.

Total number of hours driven is

9/4 + 16/5 + 3/2 + 121/60

Taking 60 as the LCM and multiplying through by 60, it becomes

(135 + 192 + 90 + 121)/60 = 538/60

Converting to mixed fraction, it becomes

8 58/60 hours

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer: the is put the 450

step-by-step explanation: