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Question 1 of 4
In a classs of 32 students, 38 walk to school. The rest travel to school by bus. How many students travel by bus?
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To multiply fractions, simply multiply the numerators and denominators separately.
First, get the fraction of the students who ride the bus.
Total population of students: 88
Fraction of students who walk: 38
58 of the students ride the bus.
To get a fraction of a quantity, simply multiply the fraction to the quantity.
Fraction of students who ride the bus: 58
Total no. of students: 32
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58×32 |
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= |
58×321 |
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58÷8×32÷81 |
Reduce the fractions |
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= |
51×41 |
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= |
201 |
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= |
20 students |
20 students ride the bus to school.
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Question 2 of 4
A bottle of milk contains 990mL. Emily drank 49 of it. Find the following:
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To multiply fractions, simply multiply the numerators and denominators separately.
(i) Find the amount of milk Emily drank.
To get a fraction of a quantity, simply multiply the fraction to the quantity.
Fraction of milk Emily drank: 49
Total amount of milk: 990mL
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49×990 |
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49×9901 |
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49÷9×990÷91 |
Reduce the fractions |
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= |
41×1101 |
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= |
4401 |
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440mL |
Emily drank 440mL of milk.
(ii) Find the remaining amount of milk.
First, get the fraction of players that are not injured.
Total amount of milk: 99
Fraction of milk Emily drank: 49
59 of the milk remains.
To get a fraction of a quantity, simply multiply the fraction to the quantity.
Fraction of remaining milk: 59
Total amount of milk: 990mL
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59×990 |
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= |
59×9901 |
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= |
59÷9×990÷91 |
Reduce the fractions |
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= |
51×1101 |
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= |
5501 |
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550mL |
550mL of milk remains in the bottle.
(i) 440mL
(i) 550mL
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Question 3 of 4
A water bottle that is 14 full contains 300mL of water. How much water will it contain if it is 23 full?
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To multiply fractions, simply multiply the numerators and denominators separately.
First, identify the what the amount of water will be if the bottle is full.
14 full |
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300mL |
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14×4 |
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300×4 |
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1 full bottle |
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1200mL |
To get a fraction of a quantity, simply multiply the fraction to the quantity.
Fraction of the bottle in question: 23
Amount of water if full: 1200mL
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23×1200 |
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= |
23×12001 |
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= |
23÷3×1200÷31 |
Reduce the fractions |
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= |
21×4001 |
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= |
8001 |
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800mL |
The water bottle holds 800mL when it is 23 full.
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Question 4 of 4
315 of oranges are needed to fill 1 glass. How many oranges will it take to fill 10 glasses?
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To multiply fractions, simply multiply the numerators and denominators separately.
To get a fraction of a quantity, simply multiply the fraction to the quantity.
Oranges needed for 1 glass: 315
No. of glasses: 10
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315×10 |
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315×10 |
Convert the fraction from mixed to improper |
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(5×3)+15×101 |
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15+15×101 |
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165×101 |
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165÷5×10÷51 |
Reduce the fractions |
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= |
161×21 |
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321 |
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32 |
32 oranges are needed to fill 10 glasses.