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Basic Fractions Practice Worksheet

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Basic Fractions Practice Worksheet

Solve each problem. Show your working and simplify fractions where possible.

Adding, subtracting and sharing fractions

1.A café has 5 kg of flour. It uses 2⅓ kg for bread and 1¾ kg for cakes. How much flour is left?

2.A pupil finishes 2/5 of a project on Monday and 1/6 on Tuesday. The remaining part is split equally between Wednesday and Thursday. What fraction of the whole project is completed on each of those days?

3.A soup recipe uses ⅔ litre of stock for 4 portions. How many litres of stock are needed for 9 portions?

4.A book has 200 pages. Leah has read ⅖ of it. Omar has read ⅝ of a different 128-page book. Who has read more pages, and by how many?

Fractions in everyday situations

5.A roll of ribbon is 4½ metres long. After 1½ metres are used, the rest is cut into pieces that are each ¾ metre long. How many pieces can be cut?

6.At a community event, ⅖ of the money raised comes from ticket sales and ¼ comes from refreshments. The remaining £280 comes from donations. How much money is raised altogether?

7.A farm harvests 5¼ tonnes of potatoes. It sells ⅗ of the harvest to a wholesaler and 1/7 of the original harvest to a local shop. How many tonnes are left?

8.A cook combines 1½ cups of oats, 2¼ cups of seeds and ¾ cup of dried fruit. The mixture is shared equally among 6 jars. How much mixture goes into each jar?

Fraction problem solving

9.A water tank is ¾ full. A gardener uses ⅖ of the water in the tank. The tank is then topped up until it is ⅞ full. What fraction of the tank’s full capacity is added?

10.For 4 days, a worker spends 2½ hours each day at one job, earning £14 per hour, and 1⅓ hours each day at another job, earning £12 per hour. How much does the worker earn altogether?

11.A rectangular allotment plot is 7½ metres long and 4 metres wide. Vegetables cover ⅖ of its area and flowers cover ¼. How many square metres are not planted?

12.During a sale, customers pay ¾ of the original price. Three items cost £36, £24 and £18 after the discount. What would their combined price have been before the discount?