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Comparing and Ordering Fractions
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Comparing and Ordering Fractions
A food truck is preparing recipes and sharing trays at a weekend market. Compare fractions carefully, show your reasoning where asked, and use the number line to help with ordering.
Compare and spot equivalents
1.Two pizza trays are the same size. Tray A has 5/8 covered with toppings and Tray B has 3/4 covered. Which tray has more topping? Choose the greater fraction.
- 5/8
- 3/4
- They have the same amount
2.A recipe uses 2/3 of a cup of yoghurt. Another uses 5/9 of a cup. Write <, > or = to make this comparison true: 2/3 5/9.
3.A baker says 6/8 and 3/4 name the same amount. Is the baker correct? Choose true or false.
TrueFalse
4.The market stall has these amounts of a fruit smoothie left: 3/8, 5/8, 2/3 and 7/12 of a jug. Select every amount that is more than half a jug.
- 3/8
- 5/8
- 2/3
- 7/12
Order the portions
5.Place 1/6, 1/3, 2/3 and 5/6 on the number line. Write each fraction above its correct tick mark.
6.Order the recipe amounts from smallest to largest: 1/4, 3/8, 1/2 and 5/8.
7.Four salad recipes use 7/12, 3/4, 2/3 and 5/8 of a bottle of dressing. Order these amounts from greatest to least.
8.A customer ate 3/5 of a shared tray of watermelon. Isla says this is less than 1/2 because fifths are smaller than halves. Is Isla right? Explain using equivalent fractions or another clear method.
9.A recipe needs an amount of honey greater than 1/4 cup but less than 1/2 cup. Write three different fractions that could work. Show a comparison or equivalent fractions to prove each one is between 1/4 and 1/2.
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