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Fraction of a Quantity: Word Problems>
Find the Fraction of a Quantity: Word Problems 4Find the Fraction of a Quantity: Word Problems 4
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Question 1 of 4
1. Question
In a classs of `32` students, `3/8` walk to school. The rest travel to school by bus. How many students travel by bus?- (20) students
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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: `8/8`Fraction of students who walk: `3/8``8/8-3/8` `=` `5/8` `5/8` 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: `5/8`Total no. of students: `32``5/8``xx``32` `=` `5/8xx32/1` `=` $$\frac{5}{8\div\color{#CC0000}{8}}\times\frac{32\div\color{#CC0000}{8}}{1}$$ Reduce the fractions `=` `5/1xx4/1` `=` `20/1` `=` `20` students `20` students ride the bus to school.`20` students -
Question 2 of 4
2. Question
A bottle of milk contains `990`mL. Emily drank `4/9` of it. Find the following:-
`(i)` Amount of milk Emily drank: (440)mL`(ii)` Remaining amount of milk: (550)mL
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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: `4/9`Total amount of milk: `990`mL`4/9``xx``990` `=` `4/9xx990/1` `=` $$\frac{4}{9\div\color{#CC0000}{9}}\times\frac{990\div\color{#CC0000}{9}}{1}$$ Reduce the fractions `=` `4/1xx110/1` `=` `440/1` `=` `440`mL Emily drank `440`mL of milk.`(ii)` Find the remaining amount of milk.First, get the fraction of players that are not injured.Total amount of milk: `9/9`Fraction of milk Emily drank: `4/9``9/9-4/9` `=` `5/9` `5/9` of the milk remains.To get a fraction of a quantity, simply multiply the fraction to the quantity.Fraction of remaining milk: `5/9`Total amount of milk: `990`mL`5/9``xx``990` `=` `5/9xx990/1` `=` $$\frac{5}{9\div\color{#CC0000}{9}}\times\frac{990\div\color{#CC0000}{9}}{1}$$ Reduce the fractions `=` `5/1xx110/1` `=` `550/1` `=` `550`mL `550`mL of milk remains in the bottle.`(i) 440`mL`(i) 550`mL -
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Question 3 of 4
3. Question
A water bottle that is `1/4` full contains `300`mL of water. How much water will it contain if it is `2/3` full?- (800)mL
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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.`1/4` full `=` `300`mL `1/4xx4` `=` `300xx4` `1` full bottle `=` `1200`mL To get a fraction of a quantity, simply multiply the fraction to the quantity.Fraction of the bottle in question: `2/3`Amount of water if full: `1200`mL`2/3``xx``1200` `=` `2/3xx1200/1` `=` $$\frac{2}{3\div\color{#CC0000}{3}}\times\frac{1200\div\color{#CC0000}{3}}{1}$$ Reduce the fractions `=` $$\frac{2}{1}\times\frac{400}{1}$$ `=` $$\frac{800}{1}$$ `=` `800`mL The water bottle holds `800`mL when it is `2/3` full.`800`mL -
Question 4 of 4
4. Question
`3 1/5` of oranges are needed to fill `1` glass. How many oranges will it take to fill `10` glasses?- (32) oranges
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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: `3 1/5`No. of glasses: `10``3 1/5``xx``10` `=` $$\color{#00880A}{3}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{5}}\times10$$ Convert the fraction from mixed to improper `=` $$\frac{(\color{#9a00c7}{5}\times\color{#00880A}{3})+\color{#007DDC}{1}}{\color{#9a00c7}{5}}\times\frac{10}{1}$$ `=` $$\frac{15+1}{5}\times\frac{10}{1}$$ `=` $$\frac{16}{5}\times\frac{10}{1}$$ `=` $$\frac{16}{5\div\color{#CC0000}{5}}\times\frac{10\div\color{#CC0000}{5}}{1}$$ Reduce the fractions `=` `16/1xx2/1` `=` `32/1` `=` `32` `32` oranges are needed to fill `10` glasses.`32` oranges
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