QBank – Multiplication and Division of Fractions

Multiply.

\(\frac{1}{2} \times \frac{3}{4}\)

Multiply.

\(4 \times \frac{5}{6}\)

Multiply.

\(\frac{2}{3} \times \frac{5}{6}\)

Multiply.

\(1\frac{1}{2} \times 1\frac{1}{6}\)

Divide.

\(\frac{1}{2} \div \frac{5}{6}\)

Divide.

\(\frac{2}{3} \div 4\)

Divide.

\(\frac{2}{3} \div \frac{3}{5}\)

Divide.

\(1\frac{5}{12} \div 1\frac{1}{2}\)

Divide.

\(1\frac{2}{3} \div 3\frac{7}{12}\)

Multiply.

\(\frac{6}{7} \times \frac{7}{10}\)

Multiply.

\(3\frac{1}{5} \times \frac{5}{8}\)

Multiply.

\(\frac{4}{5} \times \frac{1}{5}\)

Multiply.

\(2\frac{1}{2} \times 3\frac{3}{4}\)

Divide

\(\frac{3}{4}\div\frac{1}{2}\)

Multiply.

\(\frac{2}{3} \times \frac{4}{15}\)

Multiply

\(2 \times \frac{3}{4}\)

Divide.

\(3\frac{1}{2} \div 2\frac{1}{2}\)

Divide.

\( 8 \div \frac{2}{9}\)

Divide.

\(1\frac{6}{7} \div \frac{3}{14}\)

Divide

\(\frac{3}{14}\div 3\)

Multiply.

\(\frac{2}{5}\times 3\)

Multiply.

\(\frac{3}{16}  \times \frac{4}{7}\)

Divide.

\(1\frac{9}{14} \div \frac{3}{5}\)

Divide.

\(2\frac{9}{10} \div 3\frac{1}{2}\)

Multiply.

\(3\frac{1}{4} \times 2\frac{2}{3}\)

Divide.

\(\frac{1}{3} \div \frac{5}{8}\)

Divide.

\(1\frac{5}{6} \div 1\frac{1}{3}\)

Multiply.

\(1\frac{1}{4} \times 1\frac{1}{2}\)

Divide.

\(\frac{1}{10} \div \frac{2}{3}\)

Multiply.

\(5\frac{1}{2} \times \frac{7}{8}\)

Divide.

\(\frac{1}{3}\div \frac{1}{4}\)

Multiply.

\(1\frac{1}{2} \times 2\frac{1}{3}\)

Multiply.

\(\frac{1}{20}\times \frac{3}{10}\)

Multiply.

\(\frac{3}{10}\times \frac{1}{7}\)

Divide.

\(2\frac{7}{9} \div 2\frac{1}{3}\)

Divide.

\(\frac{5}{7}\div \frac{4}{7}\)

Multiply.

\(2\frac{1}{4} \times 1\frac{1}{3}\)

Divide.

\(\frac{8}{9}\div \frac{5}{7}\)

A high school is using one of their training loops for a cross-country meet. The loop is equivalent to ⅚ of a mile. If the participants need to run the loop 4 times, how long is the race?

A catering service is allowed to make ⅛ extra of an order in case of an accident. Otherwise, it can be set aside for employees to enjoy after an event. If a party orders 500 cookies, approximately how many total cookies will the catering service prepare?

A builder buys 3 boxes of different sized screws, each containing 450 screws. If he uses ⅓ of one box, ⅙ of another, and ⅗ of the biggest sized screw, how many total screws does he have left?

The founder of a new company spends part of his 40-hour work week in meetings with new investors. If he has 10 different meetings that each last 40 minutes, approximately what portion of his work time is spent in meetings?

A local college has an average of 4,000 students per class year. Each year, more and more students are attending the college. Between one year, the graduating class grows by 300 students. Based on the average sized class, how much did the student class increase?

A start up company with 30 employees grows to 70 employees in 6 months. If it continues to grow at the same rate, what is the employee increase after one year?

Alex bought a box of 500 nails to use for building a treehouse. If Alex uses ⅖ of the nails for the walls and ¼ of the nails on the floor, how many nails has he used?

Grandma Sarah baked cookies for her grandchildren. If Sarah’s eldest grandchild ate ⅓ of the cookies and she made 120 cookies total, how many cookies remain for the other grandchildren?

A high school closes the track for maintenance, so the track team decides to run around the school buildings for practice. If one lap is equivalent to ⁸⁄₁₀ of a mile, how many laps around the school must the team run to do a workout equal to 4 miles?

A city is hosting a charity walk and one loop of the route is equal to 7.5 miles. A local fundraising organization has raised funds on the promise that their members walk 25 miles. How many loops of the route must the organization complete?

The Baker family hosts a large gathering for the holidays and have 4 pies for dessert. A husband and wife duo each eat ⅖ of a pie and each of their four children eat ⅔ of a pie. How many pies do the Baker’s have remaining for the rest of the family?

A woman wants to go on a 3-mile run with her large dog around the neighborhood. If going around the neighborhood once is equal to running ⅗ of a mile, how many times do they need to go around the neighborhood?

A painter uses ¼ a gallon of paint to complete ⅙ of a project. How many gallons of paint will he need to complete his entire project?

A gardener wants to create a border around his garden with small pieces of wood. To make his border, he needs 20 feet of wood, but the planks he likes are only sold in ½ yard pieces. How many pieces of wood does he need to buy?

A baker makes 5 dozen cupcakes and sells ⅚ of them for $2 each. How much money did she make?