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 = ![2\frac{1}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B3%7D)
Amount Angela spent on Sunday = ![3\frac{2}{3}](https://tex.z-dn.net/?f=3%5Cfrac%7B2%7D%7B3%7D)
<h2>
Further Explanation</h2>
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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KEYWORDS:
- denominators
- numbers
- bodmas
- piano
- angela