Question

Question 1: 5 1/8 is 2/3 of what number?
question 2: what fraction of 9 3/8 is 4 3/8?
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Answer 1

1)
`7 (11)/(16)`

2)
`(7)/(15)`

Explanation:

1) Let's convert the mixed fraction into a improper fraction.

`5(1)/(8) \\ = (5(8) + 1)/(8) \\ = (41)/(8)`

Let the number be x.

`(2)/(3) x = (41)/(8) \\ x = (41)/(8) / (2)/(3) \\ x = (41)/(8) * (3)/(2) \\ x = (123)/(6) \\ x = 7 (11)/(16)`

2)
`4 (3)/(8) = (35)/(8)`

`9 (3)/(8) = (75)/(8)`

`4 (3)/(8) / 9 (3)/(8) \\ = (35)/(8) / (75)/(8) \\ = (35)/(8) * (8)/(75) \\ = (7)/(15)`