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Percentage Fraction Decimal Conversions

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Percentage Fraction Decimal Conversions

Convert each value as requested. Give fractions in simplest form and show working for the application and challenge questions.

Conversion practice

1.Write 32% as a fraction in simplest form.

2.Write 72% as a fraction in simplest form.

3.Write 6.25% as a fraction in simplest form.

4.Write 135% as a fraction in simplest form.

5.Write 42% as a decimal.

6.Write 7.5% as a decimal.

7.Write 0.08% as a decimal.

8.Write 215% as a decimal.

9.Convert 3/8 to a percentage. Give your answer to 1 decimal place.

10.Convert 4/5 to a percentage.

11.Convert 5/6 to a percentage, correct to 1 decimal place.

12.Convert 9/4 to a percentage.

13.Express 0.625 as a percentage.

14.Express 0.006 as a percentage.

15.Express 1.35 as a percentage.

16.Express 0.9125 as a percentage.

Percentages in context

17.A rain jacket costs $120 before a 30% discount. Calculate its price after the discount.

18.A student answers 27 questions correctly out of 36. What percentage of the questions are correct?

19.A meal costs $52. A 12.5% service charge is added. What is the total cost, including the service charge?

20.A community has 6,400 residents. Its population grows by 7.5%. How many residents are there after the increase?

Reasoning challenge

21.A tablet's price is reduced by 25%, then the reduced price is cut by a further 10%. The final price is $540. Find the original price.

22.Explain why multiplying a quantity by 0.92 is equivalent to finding 92% of that quantity.

23.A shop raises every price by 15% and then applies a 15% discount to the new price. Does a product return to its original price? Show the calculation using an original price of $200 and explain your conclusion.