2.05 Practical problems with fraction operations

Sharon walks \dfrac{2}{5} of a kilometer and runs \dfrac{1}{7} of a kilometer to get to school. How many kilometers does she travel?

Carl has \dfrac{3}{7}\text{ m} of ribbon. After he uses some ribbon for a present, he has \dfrac{1}{4}\text{ m} left. How much ribbon did he use on the present?

At a party, Bill makes a drink by combining 5\dfrac{1}{3} cups of water with 1\dfrac{1}{2} cups of cordial. Find the total amount of liters in the mixed drink.

Danielle is studying for three tests. She studies Science for 3\dfrac{1}{4} hours, English for \dfrac{2}{5} of an hour and Visual Arts for \dfrac{1}{4} of an hour. How many hours does she spend studying?

Skye wants to decorate her window sill with fairy lights. The window sill is 3\dfrac{4}{9}\text{ ft} wide. If she only has 2\dfrac{1}{8}\text{ ft} of fairy lights, how much of the window sill will not be decorated?

Katrina takes 3\dfrac{2}{3} minutes to drive from her home to the local shopping center. She spends \dfrac{1}{4} of this time waiting at traffic lights. Find the number of minutes she spends waiting.

Tricia attends a 3-hour painting class. The instructor uses \dfrac{12}{14} of an hour to discuss color mixing and then allows students to use the rest of class time to complete a painting. How much time does Tricia have left to finish her work?

Homer works as an accountant and is at the office for 7\dfrac{1}{2} hours each day. He eats lunch with his colleagues for \dfrac{5}{6} hours each day. How much time does he spend working in one day?

Caitlin runs a cafe and is interested in the drink choices of her customers. She finds that 3 out of 4 customers order hot chocolate. If she has 4000 customers on a particular day, how many hot chocolates would she expect to sell?

Bianca has \dfrac{5}{6} pounds of beads. She shares the beads evenly between 3 friends. How many kilograms does each friend receive?

A bag of oranges weighing \dfrac{8}{9} \text{ kg} was divided among 6 children. What was the mass of the oranges given to each child?

In a school debate, each speaker was allowed 1\dfrac{6}{7} minutes. How many speakers participated if the debate went for 26 minutes?

Jack is making bags for his friends. He has 3\dfrac{1}{2} yards of fabric. If each bag requires \dfrac{2}{5} yards of fabric, how many bags can he make?

Katrina and Luigi ordered a pizza to share. Katrina ate \dfrac{3}{7} of the pizza while Luigi ate \dfrac{1}{2}.

In a class with 40 students, \dfrac{2}{5} of the class are boys.

Luke has a dice tin that is \dfrac{1}{4} full. He puts 8 extra dice in and the tin is now \dfrac{1}{3} full.

Victoria borrows a 360-page novel from the library. She reads \dfrac{3}{4} of the novel.

Christa is creating a 3-minute slide show with pictures from her holiday. Each picture will be displayed for 4\dfrac{1}{2} seconds.

Paul delivers online orders to customers for 6\dfrac{5}{8} hours each weekday.

For a project, Ivan needs to cut a metal rod such that the longer piece is three times the length of the shorter piece.