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Division Remainders: Fractions Decimals
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Division Remainders: Fractions Decimals
Divide quantities that do not share evenly. Express the remainder as a fraction or decimal, and choose a form that suits the situation.
Remainders in context
1.A food stall has 53 kg of kūmara to divide equally among 6 cooking teams. Write the amount per team as a mixed number and as a decimal. Which form would be more useful when weighing the kūmara?
2.Eight friends share a bill of $427 equally. Calculate each share as a fraction of a dollar and as a decimal amount. Which answer is practical for paying the bill?
3.A box contains 31 identical muesli bars for 4 hikers. How many bars does each hiker receive if the bars are shared equally? Give a mixed-number answer and a decimal answer, then explain which representation best describes the sharing.
Choose a representation
4.A length of ribbon measuring 23 metres is cut into 5 equal pieces. Find the length of one piece as a mixed number and as a decimal. State which form is most suitable if a tape measure is being used.
5.A class has 38 students forming teams of 6. How many complete teams can they make, and how many students will be left over? Write the number of teams as a mixed number by treating the remainder as a fraction of a team. Explain what the class would need to do in reality.
6.Calculate 21 ÷ 4. Give the whole-number quotient and remainder, then express the result as a fraction and as a decimal.
7.Calculate 29 ÷ 8. Give the whole-number quotient and remainder, then express the result as a fraction and as a decimal.
Challenge and reflect
8.A nursery packs 143 seedlings into trays that hold 12 seedlings each. How many full trays can be filled? Express the leftover seedlings as a fraction and percentage of one tray. If each seedling costs $3.20, find the value of the leftover seedlings.
9.Give two situations where a fractional remainder is more useful than a decimal remainder. Explain briefly why the fraction suits each situation.
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