Find the Fraction of a Quantity: Word Problems 2

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Question 1 of 4

Dianne was in a group of 5 people that won

$ 2000

$$2000$ . They all share the money equally. How much did Dianne win?

$$$ $$$ (400)

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

Since

5

$5$ of them won and would share the money equally, Dianne would be getting $\frac{1}{5}$ $1/5$ of $$ 2000$ $$2000$

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

	$\frac{1}{5}$ $1/5$ $\times$ $xx$ $2000$ $2000$

$=$ $=$	$\frac{1}{5} \times \frac{2000}{1}$ $1/5xx2000/1$

$=$ $=$	$\frac{1}{5\div\color{#CC0000}{5}}\times\frac{2000\div\color{#CC0000}{5}}{1}$	$5$ $5$ and $2000$ $2000$ are multiples of $5$ $5$

$=$ $=$	$\frac{1}{1} \times \frac{400}{1}$ $1/1xx400/1$

$=$ $=$	$\frac{400}{1}$ $400/1$

$=$ $=$	$$ 400$ $$400$

$ 400

$$400$

Question 2 of 4

12

$12$ people at a birthday party are girls.

\frac{1}{3}

$1/3$ of those girls are blonde. How many blonde girls are at the party?

(4) blonde girls

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Mute

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 blonde girls: $\frac{1}{3}$ $1/3$

No. of girls: $12$ $12$

	$\frac{1}{3}$ $1/3$ $\times$ $xx$ $12$ $12$

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

$=$ $=$	$\frac{1}{3\div\color{#CC0000}{3}}\times\frac{12\div\color{#CC0000}{3}}{1}$	Reduce the fractions

$=$ $=$	$\frac{1}{1} \times \frac{4}{1}$ $1/1xx4/1$

$=$ $=$	$\frac{4}{1}$ $4/1$

$=$ $=$	$4$ $4$ blonde girls

There are

4

$4$ blonde girls at the party.

4

$4$ blonde girls

Question 3 of 4

In a school of

826

$826$ students,

\frac{3}{7}

$3/7$ are girls. How many of the students are boys?

(472) boys

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Mute

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

First, get the fraction of the boys in the school.

Total population:

\frac{7}{7}

$7/7$

Fraction of girls:

\frac{3}{7}

$3/7$

\frac{7}{7} - \frac{3}{7}

$7/7-3/7$

=

$=$

\frac{4}{7}

$4/7$

\frac{4}{7}

$4/7$ of the school population are boys.

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

Fraction of boys: $\frac{4}{7}$ $4/7$

Total no. of students: $826$ $826$

	$\frac{4}{7}$ $4/7$ $\times$ $xx$ $826$ $826$

$=$ $=$	$\frac{4}{7} \times \frac{826}{1}$ $4/7xx826/1$

$=$ $=$	$\frac{4}{7\div\color{#CC0000}{7}}\times\frac{826\div\color{#CC0000}{7}}{1}$	Reduce the fractions

$=$ $=$	$\frac{4}{1} \times \frac{118}{1}$ $4/1xx118/1$

$=$ $=$	$\frac{472}{1}$ $472/1$

$=$ $=$	$472$ $472$ boys

472

$472$ of the students are boys

472

$472$ boys

Question 4 of 4

Trevor earns

$ 600

$$600$ a week. If he saves

\frac{3}{10}

$3/10$ of it, how much does he spend?

$$$ $$$ (420)

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

First, get the fraction of the money that he spends.

Total money he earns:

\frac{10}{10}

$10/10$

Fraction of money saved:

\frac{3}{10}

$3/10$

\frac{10}{10} - \frac{3}{10}

$10/10-3/10$

=

$=$

\frac{7}{10}

$7/10$

Trevor spends

\frac{7}{10}

$7/10$ of his wage.

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

Fraction of money spent: $\frac{7}{10}$ $7/10$

Total money earned: $$ 600$ $$600$

	$\frac{7}{10}$ $7/10$ $\times$ $xx$ $600$ $600$

$=$ $=$	$\frac{7}{10} \times \frac{600}{1}$ $7/10xx600/1$

$=$ $=$	$\frac{7}{10\div\color{#CC0000}{10}}\times\frac{600\div\color{#CC0000}{10}}{1}$	Reduce the fractions

$=$ $=$	$\frac{7}{1} \times \frac{60}{1}$ $7/1xx60/1$

$=$ $=$	$\frac{420}{1}$ $420/1$

$=$ $=$	$$ 420$ $$420$

Trevor spends

$ 420

$$420$ of his wage.

$ 420

$$420$

Find the Fraction of a Quantity: Word Problems 2

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