Solving Word Problems with Complex Fractions for 7th Grade

A recipe calls for \(\frac{3}{4}\) of a cup of sugar for every \(\frac{2}{3}\) of a cup of flour. How many cups of sugar are needed for \(\frac{5}{6}\) of a cup of flour?

• rac{1}{2}

• 1

• rac{3}{8}

• \frac{5}{12}

If a car travels \(\frac{2}{5}\) of a mile in \(\frac{1}{2}\) hour, how far will it travel in 1 hour?

• rac{1}{2} miles

• 1 mile

• \frac{4}{5} miles

• rac{3}{5} miles

A painter uses \(\frac{3}{8}\) of a gallon of paint for every \(\frac{1}{4}\) of a wall. How much paint is needed for 2 walls?

• 1 gallon

• 3 gallons

• 4 gallons

• 2 gallons

A recipe requires \(\frac{5}{6}\) of a cup of oil for \(\frac{3}{4}\) of a cup of vinegar. How much oil is needed for \(\frac{1}{2}\) cup of vinegar?

• rac{2}{3}

• \frac{5}{9}

• 1 cup

• rac{1}{3}

A gardener uses \(\frac{7}{10}\) of a bag of soil to fill \(\frac{1}{5}\) of a garden bed. How much soil will be needed to fill the entire bed?

• 5 bags of soil

• 4 bags of soil

• 3.5 bags of soil

• 2 bags of soil

If a cyclist rides \(\frac{4}{9}\) of a mile in \(\frac{2}{3}\) of an hour, how far will they ride in 1 hour?

• rac{1}{2}

• 1

• \frac{2}{3}

• rac{3}{4}

A chef uses \(\frac{1}{2}\) of a pound of cheese for every \(\frac{3}{5}\) of a pizza. How much cheese is needed for 2 pizzas?

• 5/3 pounds

• 1 pound

• 3/2 pounds

• 2 pounds

A student reads \(\frac{3}{4}\) of a book in \(\frac{2}{3}\) of a week. How long will it take to read the entire book?

• \frac{8}{9} weeks

• rac{5}{6} weeks

• rac{3}{2} weeks

• 1 week

A recipe calls for \(\frac{2}{3}\) of a cup of milk for \(\frac{1}{4}\) of a cake. How much milk is needed for a whole cake?

• 3 cups

• 2 and 2/3 cups

• 1 cup

• 1 and 1/2 cups

If a runner completes \(\frac{5}{6}\) of a mile in \(\frac{3}{4}\) of a minute, how long will it take to complete 1 mile?

• 0.75 minutes

• 1.5 minutes

• 0.9 minutes

• 1.2 minutes