Question

Angela practice 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?

Answer 1

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

• Amount Angela spent on Saturday = $2\frac{1}{3}$
• Amount Angela spent on Sunday = $3\frac{2}{3}$

Further Explanation

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

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

= $2\frac{1}{3}$ (otherwise expressed as $\frac{7}{3}$) + $3\frac{2}{3}$(otherwise expressed as $\frac{11}{3}$)

Significantly, we look for the lowest common denominator (LCD) of both denominators (3 and 3). Since both values are same, we therefore make use of 3.

LCD = 3

= $\frac{7}{3}$ + $\frac{11}{3}$

= (1 x 7) + (1 x 11) / 3

= (7) + (11) / 3

= 7 + 11 / 3

= $\frac{18}{3}$

= 6 hours

Friday is not included because weekend starts on Saturday and ends on Sunday.  

Hence, on Saturday, she practiced for $2\frac{1}{3}$ hours; On Sunday she practiced for $3\frac{2}{3}$ hours. The addition of the hours spent on both days is 6 hours.

The above mathematical expression denotes a number problem, and it deals with fraction. In order to derive a solution, it is important an order of operations i.e BODMAS is applied.

The denominators of the 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.

LEARN MORE:

• Numbers: brainly.com/question/2906770
• fraction brainly.com/question/6201432
• mixed numbers brainly.com/question/12853142

KEYWORDS:

• angela
• piano
• bodmas
• multiplying
• division
• addition

Answer 2

For this case, they ask us to find the time that Angela practices on the piano during the weekend.

Friday:

$2 \frac {1} {2} = 2 + \frac {1} {2} = \frac {2 * 2 + 1 * 1} {2 * 1} = \frac {5} {2}$

Saturday:

$2 \frac {1} {3} = 2 + \frac {1} {3} = \frac {3 * 2 + 1 * 1} {3 * 1} = \frac {7} {3}$

Sunday:

$3 \frac {2} {3} = 3 + \frac {2} {3} = \frac {3 * 3 + 2 * 1} {3 * 1} = \frac {11} {3}$

Adding we have:

$\frac {5} {2} + \frac {7} {3} + \frac {11} {3} =\\\frac {5} {2} + \frac {18} {3} =\\2.5 + 6 =\\8.5$

So, Angela practiced 8.5 hours during the weekend. This is equivalent to $8 \frac {1} {2}$

Answer:

8.5 hours

$8 \frac {1} {2}$ hours