Given:
a.) Hannah reads 5/8 page in 2/3 minute.
To be able to determine the unit rate we divide the number of pages Hannah ready by the time she took to read it.
We get,
[tex]\text{ }\frac{5}{8}\text{ }\div\text{ }\frac{2}{3}[/tex]In dividing fractions, reciprocate the divisor and multiply it to the dividend.
We get,
[tex]\text{ }\frac{5}{8}\text{ }\div\text{ }\frac{2}{3}\text{ = }\frac{5}{8}\text{ x }\frac{3}{2}[/tex][tex]=\frac{5}{8}\text{ x }\frac{3}{2}[/tex]In multiplying fractions, we just directly multiply the numerator by other numerators and the denominator by the other denominators.
[tex]\frac{5}{8}\text{ x }\frac{3}{2}\text{ = }\frac{5\text{ x 3}}{8\text{ x 2}}[/tex][tex]\text{ = }\frac{15}{16}[/tex]Therefore, the unit rate is 15/16 pages per minute.
