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Fractions Decimals Percentages Conversion
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Fractions Decimals Percentages Conversion
Zoe, Hugo and Manaia are checking measurements and project results in a library makerspace. Convert between fractions, decimals and percentages. Simplify fractions where possible, and show working for context questions.
Conversion toolkit
Use equivalent forms to complete the conversion challenges.
1.At the makerspace, a battery is 3/5 charged. Write this amount as a decimal and as a percentage.
2.Hugo's 3D printer has completed 0.375 of a model. Convert 0.375 to a fraction in simplest form and to a percentage.
3.A box of LEDs is labelled 45%. Write this as a fraction in simplest form and as a decimal.
4.Which three labels show the same value? Select all that apply: 7/8, 0.78, 87.5%, 0.875, 78%.
- 7/8
- 0.78
- 87.5%
- 0.875
- 78%
5.Order these amounts from smallest to largest: 0.42, 2/5, 45%, 0.4. Use a number line to help.
Makerspace missions
Apply conversions to real measurements and project data.
6.Manaia uses 0.65 m of a 1 m strip of copper tape. What fraction of the strip does she use, in simplest form, and what percentage remains?
7.In a makerspace skills challenge, Zoe completes 21 of 28 tasks. What fraction of the tasks is that in simplest form? Convert the result to a decimal and a percentage.
8.A small component costs $24 before a 15% discount. How many dollars are taken off the price? What is the sale price in New Zealand dollars?
9.A batch of 160 prototype parts has a 12.5% failure rate. How many parts fail? Give the failure rate as a fraction in simplest form and a decimal.
10.Hugo says 5/6 is exactly 0.83 and exactly 83%. Is he correct? Give the decimal to 3 decimal places and the percentage to 1 decimal place, then explain the rounding.
11.Explain why 0.4, 2/5 and 40% represent the same amount. Include one conversion that proves your explanation.
3 printable pages
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