Dividing fractions by fractions Transitional Reasoning Download PDF

Questions

1. 1.

   During a robotics showcase, a battery-powered rover travels at a constant speed of $\frac{5}{6}$ meter per second along a straight track. A solar-powered rover covers $\frac{7}{8}$ meter in $\frac{3}{4}$ of a second at a constant speed. How many times as fast is the solar-powered rover compared to the battery-powered rover?

   • A) $\frac{5}{7}$
   • B) $\frac{7}{6}$
   • C) $\frac{35}{36}$
   • D) $\frac{7}{5}$
2. 2.

   An artist uses $\frac{3}{8}$ liter of glaze to coat $\frac{5}{6}$ of a decorative ceramic panel. If she has $\frac{3}{4}$ liter of the glaze in her workshop, how many identical panels can she coat in total at this rate?

   • A) $1 \frac{1}{4}$
   • B) $1 \frac{2}{3}$
   • C) $1 \frac{5}{6}$
   • D) $2 \frac{1}{4}$
3. 3.

   A rectangular banner for a science fair has an area of $\frac{7}{12}$ square meter and a width of $\frac{2}{3}$ meter. The design team decides to reduce the length of the banner by $\frac{1}{4}$ meter so it fits inside a display cabinet. What is the new length of the banner, in meters?

   • A) $\frac{5}{36}$
   • B) $\frac{7}{8}$
   • C) $\frac{5}{8}$
   • D) $\frac{9}{8}$
4. 4.

   A filtration chamber contains $\frac{5}{6}$ cubic meter of liquid, which includes $\frac{1}{12}$ cubic meter of sediment at the bottom that cannot be drained. A drainage pump removes water from the chamber at a constant rate of $\frac{2}{5}$ cubic meter per hour. How many hours will it take for the pump to remove all the drainable liquid from the chamber?

   • A) $\frac{3}{10}$ hours
   • B) $\frac{8}{15}$ hours
   • C) $2\frac{1}{12}$ hours
   • D) $1\frac{7}{8}$ hours
5. 5.

   An artisan has $\frac{7}{12}$ of a spool of copper wire to create decorative sculptures. If each sculpture requires $\frac{5}{18}$ of a full spool, how many sculptures can the artisan make from the available wire?

   • A) $\frac{10}{21}$
   • B) $\frac{35}{216}$
   • C) $1\frac{7}{10}$
   • D) $2\frac{1}{10}$