Mathematics
Fill in the blanks :
(i) If is a fraction, then a and b are …………… .
(ii) In an improper fraction, the numerator is …………… the denominator.
(iii) The product of two improper fractions is a/an …………… fraction.
(iv) ÷ equal to the product of and …………… .
(v) The product of two proper fractions is …………… than each of the given fractions.
(vi) The reciprocal of a proper fraction is a/an …………… fraction.
(vii) The fraction whose reciprocal is equal to the fraction itself is …………… .
Fractions
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Answer
(i) If is a fraction, then a and b are natural numbers.
(ii) In an improper fraction, the numerator is greater than or equal to the denominator.
(iii) The product of two improper fractions is a/an improper fraction.
(iv) ÷ equal to the product of and the reciprocal of .
(v) The product of two proper fractions is smaller than each of the given fractions.
(vi) The reciprocal of a proper fraction is a/an improper fraction.
(vii) The fraction whose reciprocal is equal to the fraction itself is 1 .
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Write true (T) or false (F):
(i) In an improper fraction, the numerator is always greater than the denominator.
(ii) The product of two proper fractions can be an improper fraction.
(iii) Any improper fraction is always greater than any proper fraction.
(iv) Every unit fraction is equal to 1.
(v) The reciprocal of a proper fraction is an improper fraction.
(vi) The product of two proper fractions is always greater than each of the two proper fractions.
(vii) There exists a fraction whose multiplicative inverse is equal to the fraction itself.
(viii) The product of a proper fraction and and an improper fraction is always less than the improper fraction.
When Prabhu Dayal died, he left all his money for his grand-children, 3 of whom were boys and 5 were girls. In his will he insisted that each grand-child must get equal share of the total amount of ₹56,00,000.
(1) What was the share of each child ?
₹8,00,000
₹11,20,000
₹6,40,000
₹7,00,000
(2) What fraction of the money did the girls receive ?
(3) How much did the boys receive in total ?
₹21,00,000
₹24,00,000
₹35,00,000
₹40,00,000
(4) If one of the girls did not take her share and the money is divided among the remaining grand-children, the fraction of the money received by the boys is :