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Finding Fractional Wholes
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Finding Fractional Wholes
To find a whole from a fractional part, divide the part by the fraction, or multiply by the fraction’s reciprocal. Show your working and include units where needed.
Find the Whole
1.Three-quarters of a quantity is 54. What is the whole quantity?
2.A tray has 7/8 of its muffins left. There are 42 muffins on the tray. How many muffins were there before any were taken?
3.At a community event, 4/5 of the registered volunteers arrive. If 160 volunteers arrive, how many were registered?
4.Five-thirds of a number is 95. Find the number.
Model and Apply
5.Three-fifths of a group is 21 people. Draw a fraction bar divided into fifths to show the known part, then calculate the size of the whole group.
6.A baker uses 2.4 kg of oats, which is 3/4 of the amount needed for a large batch. How many kilograms of oats are needed for the whole batch?
7.Seven-fourths of a number is 84. What is the number?
- 48
- 96
- 120
- 147
Challenge Problems
8.A club spends $315 on a venue, which is 3/5 of its budget. It uses 1/4 of the money left for refreshments. How much does it spend on refreshments?
9.A water tank is 5/6 full and contains 250 litres. What is the tank’s full capacity?
10.Let x be the whole amount. Write an equation and solve it if 7/4 of x is 126.
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