We are to divide 2/7 by 1.5.
The mathematical expression is,
[tex]\frac{2}{7}\div1.5[/tex]First of all, let us convert 1.5 to a fraction
[tex]\begin{gathered} 1.5=\frac{15}{10}=\frac{3}{2} \\ \therefore1.5=\frac{3}{2} \end{gathered}[/tex]Let us now divide and simplify
[tex]\frac{2}{7}\div\frac{3}{2}[/tex]Apply the fraction rule:
[tex]\begin{gathered} \frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c} \\ \therefore\frac{2}{7}\div\frac{3}{2}=\frac{2}{7}\times\frac{2}{3} \end{gathered}[/tex]Multiply fractions:
[tex]\begin{gathered} \frac{a}{b}\times\frac{c}{d}=\frac{a\:\times\:c}{b\:\times\:d} \\ \therefore\frac{2}{7}\times\frac{2}{3}=\frac{2\times\:2}{7\times\:3} \end{gathered}[/tex]Multiply the numbers
[tex]\frac{2\times\: 2}{7\times\: 3}=\frac{4}{21}[/tex]Hence, the answer is
[tex]\frac{4}{21}[/tex]