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# Which of the following is one-third of the reciprocal of the 1/3 + 8/7

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Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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30 Oct 2019, 22:46
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Difficulty:

15% (low)

Question Stats:

83% (00:52) correct 18% (01:19) wrong based on 40 sessions

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Which of the following is one-third of the reciprocal of the $$\frac{1}{3} + \frac{8}{7}$$ ?

A. 7/31

B. 7/15

C. 8/21

D. 21/31

E. 31/21

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Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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30 Oct 2019, 23:35
Bunuel wrote:
Which of the following is one-third of the reciprocal of the $$\frac{1}{3} + \frac{8}{7}$$ ?

A. 7/31

B. 7/15

C. 8/21

D. 21/31

E. 31/21

$$\frac{1}{3} + \frac{8}{7}$$

$$\frac{(7 + 24)}{21}$$

$$\frac{31}{21}$$

Reciprocal : $$\frac{21}{31}$$

One-third of reciprocal :

$$\frac{21}{31}*\frac{1}{3}$$

$$\frac{7}{31}$$

(A)
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Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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31 Oct 2019, 05:37

Solution

To find
• Value of one-third of the reciprocal of the 1/3+8/7

Approach and Working out

1/3+8/7 = (7 +24 )/21= 31/21
Reciprocal of 1/3+8/7 = 21/31
One third of Reciprocal of 1/3+8/7 = 1/3 × 21/31 = 7/31

Thus, option A is the correct answer.
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Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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31 Oct 2019, 07:10
Bunuel wrote:
Which of the following is one-third of the reciprocal of the $$\frac{1}{3} + \frac{8}{7}$$ ?

A. 7/31

B. 7/15

C. 8/21

D. 21/31

E. 31/21

$$\frac{1}{3} + \frac{8}{7}$$

= $$\frac{7+24}{21}$$

= $$\frac{31}{21}$$

One-third of the reciprocal of $$\frac{31}{21}$$ = $$\frac{21}{31}*\frac{1}{3} = \frac{7}{31}$$ , Answer must be (A)
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Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7   [#permalink] 31 Oct 2019, 07:10