Question

find ten rational numbers between -3/4 and 5/6​

Answer 1

Answer:

$\frac{ - 3}{4} . \frac{5}{6} \\ \\ lcm = 2 \times 3 \times 2 = 12 \\ \\ \frac{ - 3}{4} \times \frac{3}{3} = \frac{ - 9}{12} \\ \\ \frac{5}{6} \times \frac{2}{2} = \frac{10}{12}$

Numbers between the following fractions-

$\frac{ - 8}{12} . \frac{ - 7}{12} . \frac{ - 6}{12} . \frac{ - 5}{12} . \frac{ - 4}{12} . \frac{ - 3}{12} . \frac{ - 2}{12} . \frac{ - 1}{12} . \frac{0}{12} . \frac{1}{12}$

Answer 2

$= \frac{ - 3 \times 6}{4 \times 6} and \frac{5 \times 4}{6 \times 4} \\ = \frac{ - 18}{24} and \frac{20}{24} \\ = \frac{ - 18 \times 11}{24 \times 11} and \frac{20 \times 11}{24 \times 11} \\ = \frac{ - 198}{264} and \frac{220}{264} \\ = \frac{ - 198}{264} ( \frac{ - 197}{264} > \frac{ - 196}{264} > \\ \frac{ - 195}{264} > \frac{ - 194}{264} > \frac{ - 193}{264} > \frac{ - 192}{264} \\ > \frac{ - 191}{264} > \frac{ - 190}{264} > \frac{ - 189}{264} ) \frac{220}{264}$