Angela practiced piano for 2 1/2 hours on friday, 2 1/3 hours on saturday, and 3 2/3 hours on sunday. how much time did angela practice piano during the weekend?

Angela practiced piano during the weekend (Saturday and Sunday) for 6 hours.

The weekend starts on Saturday. Hence, on Saturday, she practiced for hours; On Sunday she practiced for hours. The addition of the hours spent on both days is 6 hours.

Amount Angela spent on Saturday =

Amount Angela spent on Sunday =  

To determine the total amount spent on both days of the weekend =

Amount Angela spent on Saturday + Amount Angela spent on Sunday =

= (otherwise expressed as 7/3) + (otherwise expressed as 11/3)

= 7/3 + 11/3

= (1 x 7) + (1 x 11) / 3 (the smallest number that can divide the denominator)

= (7) + (11) / 3

= 7 + 11 / 3

= 18 / 3

= 6 hours

Notably, Friday’s value was not added because it didn’t fall on the weekend.

Also, the given question deals with fractions, and as that, an order of operation i.e. BODMAS was made used to derive the answer.

The denominators of both fractions are the same (3), thereby it was used to factor out the numerators (7) and (11), and subsequently arriving at the final answer which is 6 hours.

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option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,