Question

1. The reciprocal of 3/8 is

2. The reciprocal of 2 2/3 is
3. The product of -3/8 and 2 2/3 is
4. 3/8 divided by -2 2/3 is
5. The difference between -2 2/3 and -3/8 is
6. The sum of -3/8 and 2 2/3 is

The answers to these mathematical statements aren't in order. Place the correct answer with the correct statements.

-9/64, -2 7/24, -1, 3/8, 8/3, 2 7/24. Thank you! :)

Answer 1

1. 8/3
2. 3/8
3. -1
4. -9/64
5. -2 7/24
6. 2 7/24
Hope this helps ;)

Answer 2

1. The reciprocal of 3/8 is 8/3

2. The reciprocal of 2 2/3 is 3/8 (because
`2 (2)/(3)= (x2\cdot 3+2)/(3) = (8)/(3)`)

3. The product of -3/8 and 2 2/3 is
`- (3)/(8) \cdot 2 (2)/(3) =- (3)/(8) \cdot (8)/(3) =-1`

4. 3/8 divided by -2 2/3 is
`(3)/(8) :(-2 (2)/(3) )=-(3)/(8) : (8)/(3)=-(3)/(8) \cdot (3)/(8) = -(9)/(64)`

5. The difference between -2 2/3 and -3/8 is
`-2 (2)/(3) -(- (3)/(8) )=- (8)/(3) + (3)/(8) = (-8\cdot 8+3\cdot 3)/(3\cdot 8) = (-55)/(24)=-2(7)/(24)`

6. The sum of -3/8 and 2 2/3 is
`-(3)/(8) +2 (2)/(3)= -(3)/(8) + (8)/(3)= (-3\cdot 3+8\cdot 8)/(3\cdot 8) = (55)/(24)=2(7)/(24)`.