Find the Fraction of a Quantity: Word Problems 1

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Question 1 of 4

In a pile of

21

$21$ books,

\frac{1}{7}

$1/7$ are fiction. How many fiction books are there?

(3) fiction books

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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.

Fraction of fiction books: $\frac{1}{7}$ $1/7$

No. of books: $21$ $21$

	$\frac{1}{7}$ $1/7$ $\times$ $xx$ $21$ $21$

$=$ $=$	$\frac{1}{7} \times \frac{21}{1}$ $1/7xx21/1$

$=$ $=$	$\frac{1}{7\div\color{#CC0000}{7}}\times\frac{21\div\color{#CC0000}{7}}{1}$	Reduce the fractions

$=$ $=$	$\frac{1}{1} \times \frac{3}{1}$ $1/1xx3/1$

$=$ $=$	$\frac{3}{1}$ $3/1$

$=$ $=$	$3$ $3$ fiction books

In the pile of

21

$21$ books,

3

$3$ are fiction.

3

$3$ fiction books

Question 2 of 4

2. Question
How many oranges are needed to feed $12$ $12$ soccer players at half time if
each player eats $\frac{3}{4}$ $3/4$ of an orange?
- (9) 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.

Orange for each player: $\frac{3}{4}$ $3/4$

No. of players: $12$ $12$

$\frac{3}{4}$ $3/4$ $\times$ $xx$ $12$ $12$

$=$ $=$ $\frac{3}{4} \times \frac{12}{1}$ $3/4xx12/1$

$=$ $=$ $\frac{36}{4}$ $36/4$

$=$ $=$ $36 \div 4$ $36-:4$

$=$ $=$ $9$ $9$ oranges

$9$ $9$ oranges are needed to feed $12$ $12$ soccer players $\frac{3}{4}$ $3/4$ of an orange each.

$9$ $9$ oranges

Question 3 of 4

Tom bought

2 \frac{4}{5}

$2 4/5$ kg of potatoes and used half of the bag. How many kilos of potatoes did he use?

1. $1 \frac{3}{5} k g$ $1 3/5kg$
2. $1 \frac{2}{5} k g$ $1 2/5kg$
3. $2 \frac{1}{5} k g$ $2 1/5kg$
4. $5 \frac{1}{2} k g$ $5 1/2kg$

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To multiply fractions, simply multiply the numerators and denominators separately.

Transforming a Fraction from Mixed to Improper

=

$=$

\frac{(c \times a) + b}{c}

$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{a})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$

Transforming an Improper to Mixed Fraction

\frac{b}{c} = Q \frac{R}{c}

$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}=\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$

(

$($ $b$ $b$

\div

$-:$ $c$ $c$

) =

$)=$ $Q$ $Q$ and $R$ $R$ is the remainder

To get a fraction of a quantity, simply multiply the fraction to the quantity.

Used potatoes: half or $\frac{1}{2}$ $1/2$

Amount of potatoes: $2 \frac{4}{5}$ $2 4/5$ kg

	$\frac{1}{2}$ $1/2$ $\times$ $xx$ $2 \frac{4}{5}$ $2 4/5$

$=$ $=$	$\frac{1}{2}\times\color{#00880A}{2}\frac{\color{#007DDC}{4}}{\color{#9a00c7}{5}}$	Convert the fraction from mixed to improper

$=$	$\frac{1}{2}\times\frac{(\color{#9a00c7}{5}\times\color{#00880A}{2})+\color{#007DDC}{4}}{\color{#9a00c7}{5}}$

$=$	$\frac{1}{2}\times\frac{10+4}{5}$

$=$	$\frac{1}{2}\times\frac{14}{5}$

$=$	$\frac{1}{2\div\color{#CC0000}{2}}\times\frac{14\div\color{#CC0000}{2}}{5}$	Reduce the fractions

$=$	$1/1xx7/5$

$=$	$7/5$

Convert the fraction from improper to mixed by dividing the numerator by the denominator

Arrange the numbers for long division

$5$ goes into

$7$ once. So write

$1$ above the line.

Multiply

$1$ to

$5$ and write the answer below

$7$

Subtract

$5$ from

$7$ and write the answer one line below

Since

$5$ cannot go into

$2$ anymore, $2$ is left as the Remainder and $1$ is the Quotient

Substitute values into the given formula

$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$	$=$	$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$

$\frac{\color{#007DDC}{7}}{\color{#9a00c7}{5}}$	$=$	$\color{#00880A}{1}\frac{\color{#e65021}{2}}{\color{#9a00c7}{5}}$

Tom used

$1 2/5kg$ .

$1 2/5kg$ of potatoes

Question 4 of 4

From a squad of

$15$ players,

$1/3$ are sick. How many are healthy?

(10) players

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To multiply fractions, simply multiply the numerators and denominators separately.

First, get the fraction of healthy players in the squad.

Total population:

$3/3$

Fraction of sick:

$1/3$

$3/3-1/3$

$=$

$2/3$

$2/3$ of the squad are healthy.

To get a fraction of a quantity, simply multiply the fraction to the quantity.

Fraction of healthy players: $2/3$

Total no. of players: $15$

	$2/3$ $xx$ $15$

$=$	$2/3xx15/1$

$=$	$\frac{2}{3\div\color{#CC0000}{3}}\times\frac{15\div\color{#CC0000}{3}}{1}$	Reduce the fractions

$=$	$2/1xx5/1$

$=$	$10/1$

$=$	$10$ players

$10$ players in the squad are healthy.

$10$ players

Find the Fraction of a Quantity: Word Problems 1

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Quiz summary

Information

1. Question

Hint

Fantastic!

2. Question

Hint

Great Work!

3. Question

Hint

Excellent!

Transforming a Fraction from Mixed to Improper

Transforming an Improper to Mixed Fraction

4. Question

Hint

Well Done!

Quizzes

		$\frac{3}{4}$ $3/4$ $\times$ $xx$ $12$ $12$

	$=$ $=$	$\frac{3}{4} \times \frac{12}{1}$ $3/4xx12/1$

	$=$ $=$	$\frac{36}{4}$ $36/4$

	$=$ $=$	$36 \div 4$ $36-:4$
	$=$ $=$	$9$ $9$ oranges