Fill in the blanks with the correct symbol out of , = or : (i) -17/4....-15/4(ii) 0...-1/-2(iii) 4/-3...-8/7(iv) -5/12...7/-16(v) -7/8...-8/9(v) -7/8 ...-8/9

Question

Fill in the blanks with the correct symbol out of >, = or : (i) -17/4....-15/4(ii) 0...-1/-2(iii) 4/-3...-8/7(iv) -5/12...7/-16(v) -7/8...-8/9(v) -7/8 ...-8/9

KnowledgeBoat · Accepted Answer

(i) (ii) 0 (iii) (iv) (v) (vi) Explanation (i) Since the denominators are the same, we compare the numerators where -17 is less than -15. (ii) simplifies to the positive rational number , and zero is always less than any positive number. (iii) L.C.M. of 3 and 7 is 21. After converting to a common denominator of 21, we compare and , where -28 -24. (iv) L.C.M. of 12 and 16 is 48. After converting to a common denominator of 48, the fractions are and , and since -20 -21, the first is greater. (v) L.C.M. of 8 and 9 is 72. After converting to a common denominator of 72, the fractions are and , and -63 -64 so . (vi) is a negative rational number while is positive, and any negative number is less than a positive one.

Mathematics

Fill in the blanks with the correct symbol out of >, = or : (i) -17/4....-15/4(ii) 0...-1/-2(iii) 4/-3...-8/7(iv) -5/12...7/-16(v) -7/8...-8/9(v) -7/8 ...-8/9

Rational Numbers

Related Questions

State whether the given statement is true or false :
(i) The quotient of two integers is always a rational number.
(ii) Every rational number is a fraction.
(iii) Zero is the smallest rational number.
(iv) Every fraction is a rational number.

Mathematics

Fill in the blanks with the correct symbol out of >, = or : (i) -17/4....-15/4(ii) 0...-1/-2(iii) 4/-3...-8/7(iv) -5/12...7/-16(v) -7/8...-8/9(v) -7/8 ...-8/9

Rational Numbers

Related Questions

State whether the given statement is true or false :(i) The quotient of two integers is always a rational number.(ii) Every rational number is a fraction.(iii) Zero is the smallest rational number.(iv) Every fraction is a rational number.

State whether the given statement is true or false :
(i) The quotient of two integers is always a rational number.
(ii) Every rational number is a fraction.
(iii) Zero is the smallest rational number.
(iv) Every fraction is a rational number.