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Fractions Parts of Whole
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Fractions Parts of Whole
At a Matariki celebration, the team is sharing food and planning activities. Show your working where useful. Simplify fractions fully.
Share the kai
Use fractions to help Harrison, Losa and Nathan plan fair portions.
1.A tray has 12 equal pieces of kūmara bread. Harrison takes 5 pieces. What fraction of the tray does he take? Give the fraction in simplest form.
2.A round pāua-pasta pie is divided into 8 equal slices. The group eats 3 slices. What fraction is left? Simplify your answer.
3.Losa pours 3/4 of a litre of water into a jug. Nathan adds 1/8 of a litre. How much water is in the jug altogether? Give your answer as a simplified fraction of a litre.
4.Which fraction is equivalent to 2/3? Choose one.
- 4/9
- 6/9
- 8/9
- 3/6
Fractions in the celebration plan
Work out the parts, compare amounts and explain your reasoning.
5.A star-themed lantern has 10 equal panels. Four panels are blue and the rest are gold. What fraction of the panels are gold? Simplify your answer.
6.A playlist for the gathering is 2/5 waiata and 1/4 instrumental music. What fraction of the playlist is either waiata or instrumental music?
7.The team has used 7/12 of its supply of coloured paper. What fraction remains? Show how you know.
8.Put these fractions in ascending order: 3/4, 2/3, 5/6. Use the number line to help if needed.
9.Harrison says 3/5 is greater than 5/8 because 5 is greater than 3. Is he correct? Explain by comparing equivalent fractions with a common denominator.
10.A large tray of fruit is 3/4 full. Guests eat 2/5 of the fruit that is on the tray. What fraction of the tray's total capacity is eaten?
11.Nathan has 2/3 of a roll of ribbon. He uses 3/8 of the ribbon he has. What fraction of a whole roll does he use, and what fraction remains?
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