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Q.

Without using a calculator, work out Question Image. You must show all your working and give your answer as a mixed number in its simplest form:


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a

  Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is C.

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Detailed Solution

Concept: First, use the conversion formula Question Imageto convert the specified mixed fraction to the wrong fraction. Now, to divide the  improper fraction obtained by Question Image, take the reciprocal of Question Image and multiply it by the previously obtained improper fraction. Now, to return the resulting product to a mixed fraction, divide the numerator by the denominator. Write the remainder at the top of the fraction and the quotient on the left without changing the denominator.
Given, Question ImageOn solving we get:
Question ImageNow, we need solve Question ImageTo divide a given number by another, you need to multiply the first number by the reciprocal of the second number.
Simply swap the numerator and denominator to get the reciprocal of the number.
Question ImageHence, the correct answer is option (3).
 
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