Question

Rodrigo practiced playing the guitar 16 1/3

hours over the past 3 weeks. He practiced for 5 1/4
hours during the first week and 5
2
3
hours during the second week.

How much time did Rodrigo spend practicing duri
ng the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.

Answer 1

`27(1)/(4)`

Explanation:

You can first add the whole numbers together-

16+5+5 = 16+10= 26

Next, we can find a common denominator for all the fractions

since one of the denominators is 3 and the other one is 4, we can multiply them to get 12.

Now, we can change all the denominators to 12 and multiply as needed

`16 (1)/(3) = 16 (4)/(12)\`

`5(1)/(4) =5(3)/(12)`

`5(2)/(3) = 5(8)/(12)`

Finally, we can add up the fractions

`(4)/(12)+ (3)/(12) +(8)/(12) = (15)/(12) = 1(3)/(12) = 1(1)/(4)`

Now we can add the whole number total with the fraction total

`26+1(1)/(4)`
`= 27(1)/(4)`

So, our answer is
`27(1)/(4)`

Hope this helps!!!

Let me know in the comments if I should change anything or if the answer was perfect!!!

I wasn't able to select any equations because I didn't know which equations there were. :)