queenesya7
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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! :)

Respuesta :

shevchukjulianna
1. 8/3
2. 3/8
3. -1
4. -9/64
5. -2 7/24
6. 2 7/24
Hope this helps ;)
frika
1. The reciprocal of 3/8 is 8/3

2. The reciprocal of 2 2/3 is 3/8 (because [tex]2 \frac{2}{3}= \frac{x2\cdot 3+2}{3} = \frac{8}{3} [/tex])

3. The product of -3/8 and 2 2/3 is [tex]- \frac{3}{8} \cdot 2 \frac{2}{3} =- \frac{3}{8} \cdot \frac{8}{3} =-1[/tex]

4. 3/8 divided by -2 2/3 is [tex] \frac{3}{8} :(-2 \frac{2}{3} )=-\frac{3}{8} : \frac{8}{3}=-\frac{3}{8} \cdot \frac{3}{8} = -\frac{9}{64} [/tex]

5. The difference between -2 2/3 and -3/8 is [tex]-2 \frac{2}{3} -(- \frac{3}{8} )=- \frac{8}{3} + \frac{3}{8} = \frac{-8\cdot 8+3\cdot 3}{3\cdot 8} = \frac{-55}{24}=-2\frac{7}{24} [/tex]

6. The sum of -3/8 and 2 2/3 is [tex] -\frac{3}{8} +2 \frac{2}{3}= -\frac{3}{8} + \frac{8}{3}= \frac{-3\cdot 3+8\cdot 8}{3\cdot 8} = \frac{55}{24}=2\frac{7}{24} [/tex].

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