Mathematics

Question

write these fractions in ascending order.

5/8 3/4 1/2 9/16.

2 Answer

  • [tex]\frac{5}{8}=\frac{5 \times 2}{8 \times 2}=\frac{10}{16} \\ \\ \frac{3}{4}=\frac{3 \times 4}{4 \times 4}=\frac{12}{16} \\ \\ \frac{1}{2}=\frac{1 \times 8}{2 \times 8}=\frac{8}{16} \\ \\ \frac{9}{16} \\ \\ 8<9<10<12 \Rightarrow \frac{8}{16}<\frac{9}{16}<\frac{10}{16}<\frac{12}{16} \Rightarrow \frac{1}{2} < \frac{9}{16} < \frac{5}{8} < \frac{3}{4}[/tex]

    In ascending order:
    [tex]\boxed{\frac{1}{2}, \frac{9}{16}, \frac{5}{8}, \frac{3}{4}}[/tex]
  • [tex]\dfrac{5}{8}=\dfrac{10}{16}\\ \dfrac{3}{4}=\dfrac{12}{16}\\ \dfrac{1}{2}=\dfrac{8}{16}\\\\ \Downarrow\\\\ \boxed{\dfrac{1}{2}<\dfrac{9}{16}<\dfrac{5}{8}<\dfrac{3}{4}}[/tex]