Question

On Monday, Torrance practiced the violin for 4/10 of an hour. On Tuesday, he practiced for 1 6/8 of an hour. How much time did he practice in all?

Answer 1

Answer:
`2(3)/(20)`

Explanation:

First, convert mixed numbers into improper fractions and simplify all fractions

`(4)/(10)` ÷
`(2)/(2)` =
`(2)/(5)`

`1(6)/(8)` =
`(8(1) + 6)/(8)` =
`(14)/(8)` ÷
`(2)/(2)` =
`(7)/(4)`

Next, find their sum. Remember to find the LCD and convert the fractions so they have like denominators.

Monday + Tuesday = Total

`(2)/(5)` +
`(7)/(4)` = Total the LCD of 5 and 4 is 20

`((4)/(4))(2)/(5)` +
`((5)/(5))(7)/(4)` = Total

`(8)/(20)` +
`(35)/(20)` = Total

`(43)/(20)` = Total

Then, convert the improper fraction into a mixed number

`(43)/(20)` =
`2(3)/(20)`