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Give a proper fraction : (a) whose numerator is 5 and denominator is 7.

    Give a proper fraction :

           (a) whose numerator is 5 and denominator is 7.                                                                                                                             
           (b) whose denominator is 9 and numerator is5.             

           (c) whose numerator and denominator add up to 10. How many fractions of this kind can you make?

           (d) whose denominator is 4 more than the numerator.

                (Give any five. How many more can you make?)

Answers (1)
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A proper fraction whose:

(a) numerator is 5 and denominator is 7. = \frac{5}{7}                                                                                                                                      

(b) denominator is 9 and numerator is 5.  = \frac{5}{9}                     

(c) numerator and denominator add up to 10

Pairs of numbers having sum 10 = (1,9),(2,8),(3,7),(4,6)(5,5)

Therefore, the proper fractions are \frac{1}{9}, \frac{2}{8}, \frac{3}{7}, \frac{4}{6}

(d) denominator is 4 more than the numerator. = \frac{1}{5}, \frac{2}{6}, \frac{15}{19}, \frac{105}{109}, \frac{199}{203},

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