2.08 Solve contextual problems with fractions
Sharon walks \dfrac{2}{5} of a kilometre and runs \dfrac{1}{7} of a kilometre to get to school. How many kilometres 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?
For a project, Ivan needs to cut a metal rod such that the longer piece is three times the length of the shorter piece.
What fraction of the rod's total length will be made up of the shorter piece?
If the rod is \dfrac{3}{8}\text{ m} long, what is the length of the shorter piece?
Bianca has \dfrac{5}{6} \text{ kg} of beads. She shares the beads evenly between 3 friends. How many kilograms does each friend receive?
At a party, Bill makes a drink by combining 5\dfrac{1}{3} \text{ L} of water with 1\dfrac{1}{2} \text{ L} of cordial. What is the total amount of litres in the mixed drink?
Skye wants to decorate her window sill with fairy lights. The window sill is 3\dfrac{4}{9}\text{ m} wide. If she only has 2\dfrac{1}{8}\text{ m} 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 centre. She spends \dfrac{1}{4} of this time waiting at traffic lights. Find the number of minutes she spends waiting.
Jack is making bags for his friends. He has 3\dfrac{1}{2}\text{ m} of fabric. If each bag requires \dfrac{2}{5}\text{ m} of fabric, how many bags can he make?
At the Easter Show, Tobias spends \dfrac{2}{4} of an hour visiting chickens and \dfrac{3}{9} of an hour visiting alpacas. How much time has he spent visiting animals?
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?
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?
Tricia attends a 3-hour painting class. The instructor uses \dfrac{12}{14} of an hour to discuss colour 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?
Katrina and Luigi ordered a pizza to share. Katrina ate \dfrac{3}{7} of the pizza while Luigi ate \dfrac{1}{2}.
Who ate more pizza?
What fraction of the pizza did they eat together?
What fraction of pizza is left?
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.
What fraction of the tin do the 8 extra dice take up?
How many dice can fit inside the tin?
Victoria borrows a 360-page novel from the library. She reads \dfrac{3}{4} of the novel.
How many pages did she read?
How many more pages does she have to read to finish her 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.
How many seconds are in 3 minutes?
How many pictures can she show in 3 minutes?
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?
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?
In a school debate, each speaker was allowed 1\dfrac{6}{7} minutes. How many speakers participated if the debate went for 26 minutes?
Paul delivers online orders to customers for 6\dfrac{5}{8} hours each weekday.
Over the five weekdays, how many hours does he work?
On Saturdays he works half the time of a weekday. How many hours does he work on a Saturday?
How many hours in total does he work in one week if he does not work on Sundays?
Han spent \dfrac{1}{8} of his money on a printer and \dfrac{1}{5} of his money on a table.
What fraction of his total money did Han spend?
What fraction of Han's money does he still have?
In a survey of 270 people, \dfrac{1}{10} said their favourite sport was soccer, and \dfrac{1}{9} said their favourite sport was tennis.
Calculate the total fraction of people who said their favourite sport was soccer or tennis.
Calculate the fraction of people who did not put soccer or tennis as their favourite sport.
Calculate the number of people who did not put soccer or tennis as their favourite sport.
In a class with 40 students, \dfrac{2}{5} of the class are boys.
What fraction of the class are girls?
How many girls are in the class?
An engineer is estimating the length and width of a room using the length of his steps. The length of the room is \dfrac{4}{5} of the width. He determined that the width is about 27 steps and that one of his steps is \dfrac{2}{3} \text{ m} long. Find the length of the room.
Two cars leave home at the same time travelling south. Car A travels at the rate of 83 \dfrac{1}{4} \text{ km/h} while Car B is at 88 \dfrac{3}{4} \text{ km/h}. If both cars continue to travel at these speeds in the same direction, how far apart will the two cars be at the end of 4 hours?
About \dfrac{3}{10} of the cars in a city are less than 5 years old. About \dfrac{1}{5} of the cars are between 5 and 10 years old. If there is a total of 1200 cars registered in the city, find the number of cars that are greater than 10 years old.
The mall parking lot has 800 parking spaces. \dfrac{1}{4} of the parking spaces are for cars. On a particular day there were 200 cars and some trucks in the parking lot. The parking lot was \dfrac{5}{8} full. How many trucks were in the parking lot?