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Fraction Percentage Equivalence Extension
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Fraction Percentage Equivalence Extension
Convert between fractions, decimals and percentages. Show your working and simplify fractions where possible.
Converting Between Forms
Fraction
Decimal
Percentage
5/16
________
________
________
0.72
________
________
________
62.5%
1.A community garden has 84 plots, and 63 are planted with vegetables. Express the planted plots as a simplified fraction and as a percentage of all plots.
2.A jug needs 480 mL of juice for a drink mix. There are 360 mL available. What percentage of the required amount is available? Show the amount with a bar model.
Real-World Applications
3.A netball club has 560 members. Of these, 196 are in junior teams. What fraction of the members are juniors, in simplest form, and what percentage is this?
4.A pair of trainers costs $240 before a sale. The discount is $60. What fraction of the original price is discounted? What percentage discount is this, and what percentage of the original price must be paid?
5.A poll of 300 people found that 2/3 chose cycling as their favourite way to travel; everyone else chose walking. How many chose cycling, and what percentage chose walking? If 18 people who chose walking change their answer to cycling, what percentage then choose cycling?
Challenge Problems
6.A water container is 7/10 full. A gardener uses 30% of the water currently in it. What fraction of the container's total capacity remains filled?
7.Nathan answered 42 questions correctly and received a score of 70%. How many questions were in the test?
8.A sports bag costs $34.50 after its price has been increased by 15%. Find its original price. Then express the original price in dollars as a fraction of $100 and as a percentage of $100.
9.Two simplified fractions have the same positive numerator. One is 50% and the other is 20%. Their denominators differ by 3. Find both fractions.
3 printable pages
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