1.
a) [tex] \frac{1}{3} = \frac{a}{ \frac{1}{2} } [/tex]
[tex] \frac{1}{3} \times \frac{1}{2} = a[/tex]
[tex] \frac{1}{6} = a [/tex]
b) [tex]25 = \frac{a}{ \frac{3}{5} } [/tex]
[tex]25 \times \frac{3}{5} = a[/tex]
[tex] \frac{75}{5} = a[/tex]
[tex]15 = a[/tex]
c) [tex] \sqrt{3} = \frac{a}{ \sqrt{2} } [/tex]
[tex] \sqrt{3} \times \sqrt{2} = a[/tex]
[tex] \sqrt{6} = a[/tex]
d) [tex] \sqrt{7} + \sqrt{6} = \frac{a}{ \sqrt{7} - \sqrt{6} } [/tex]
[tex]( \sqrt{7} + \sqrt{6} )( \sqrt{7} - \sqrt{6} ) = a[/tex]
[tex] { \sqrt{7} }^{2} - { \sqrt{6} }^{2} = a[/tex]
[tex]7 - 6 = a[/tex]
[tex]1 = a[/tex]