Find a fraction between each of the following pairs of fractions:
\dfrac{2}{5} and \dfrac{4}{5}
\dfrac{2}{6} and \dfrac{4}{6}
\dfrac{1}{7} and \dfrac{4}{7}
\dfrac{2}{9} and \dfrac{5}{9}
\dfrac{3}{8} and \dfrac{7}{8}
\dfrac{1}{6} and \dfrac{5}{6}
\dfrac{3}{9} and \dfrac{7}{9}
\dfrac{1}{8} and \dfrac{6}{8}
Find a fraction between each of the following pairs of fractions:
\dfrac{1}{4} and \dfrac{2}{4}
\dfrac{1}{5} and \dfrac{2}{5}
\dfrac{1}{6} and \dfrac{2}{6}
\dfrac{2}{7} and \dfrac{3}{7}
\dfrac{3}{5} and \dfrac{4}{5}
\dfrac{5}{7} and \dfrac{6}{7}
\dfrac{6}{8} and \dfrac{7}{8}
\dfrac{7}{9} and \dfrac{8}{9}
Find the fraction exactly half-way between each of the following pairs of fractions:
\dfrac{1}{4} and \dfrac{7}{12}
\dfrac{1}{3} and \dfrac{5}{9}
\dfrac{3}{8} and \dfrac{8}{16}
\dfrac{2}{7} and \dfrac{5}{21}
\dfrac{9}{16} and \dfrac{1}{64}
\dfrac{3}{10} and \dfrac{9}{20}
\dfrac{5}{11} and \dfrac{6}{33}
\dfrac{11}{15} and \dfrac{16}{45}
Find a fraction between each of the following pairs of fractions:
\dfrac{2}{5} and \dfrac{2}{6}
\dfrac{2}{6} and \dfrac{2}{7}
\dfrac{3}{4} and \dfrac{3}{5}
\dfrac{3}{5} and \dfrac{3}{6}
\dfrac{4}{7} and \dfrac{4}{8}
\dfrac{5}{6} and \dfrac{5}{7}
\dfrac{4}{5} and \dfrac{4}{7}
\dfrac{5}{6} and \dfrac{5}{8}
Explain how you can check whether one fraction lies between two other fractions, if they all have different denominators.