Multiply and Divide Fractions 1

Topics

Pre - Algebra

Fractions

Multiply and Divide Fractions

Multiply and Divide Fractions 1

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Question 1 of 3

Multiply the following:

\frac{2}{3} \times \frac{3}{4}

$2/3xx3/4$

Write fractions in the format “a/b”

(1/2)

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Mute

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

Multiply the fraction and then simplify

	$\frac{2}{3} \times \frac{3}{4}$ $2/3xx3/4$

$=$ $=$	$\frac{2 \times 3}{3 \times 4}$ $(2xx3)/(3xx4)$

$=$ $=$	$\frac{6}{12}$ $6/12$

$=$ $=$	$\frac{6\div\color{#CC0000}{6}}{12\div\color{#CC0000}{6}}$	Reduce to lowest terms

$=$ $=$	$\frac{1}{2}$ $1/2$

\frac{1}{2}

$1/2$

Question 2 of 3

Multiply the following:

\frac{3}{4} \times 5

$3/4xx5$

1. $3 \frac{3}{4}$ $3 3/4$
2. $4 \frac{3}{4}$ $4 3/4$
3. $3 \frac{2}{3}$ $3 2/3$
4. $2 \frac{1}{3}$ $2 1/3$

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Mute

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

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

Multiply the fraction and then simplify

	$\frac{3}{4} \times 5$ $3/4xx5$

$=$ $=$	$\frac{3}{4} \times \frac{5}{1}$ $3/4xx5/1$	A whole number can be a fraction with $1$ $1$ as the denominator

$=$ $=$	$\frac{3 \times 5}{4 \times 1}$ $(3xx5)/(4xx1)$

$=$ $=$	$\frac{15}{4}$ $15/4$

Now, convert the fraction from improper to mixed

Start by dividing the numerator by the denominator

Arrange the numbers for long division

4

$4$ goes into

15

$15$ three times. So write

3

$3$ above the line.

Multiply

3

$3$ to

4

$4$ and write the answer below

15

$15$

Subtract

12

$12$ from

15

$15$ and write the answer one line below

Since

4

$4$ cannot go into

3

$3$ anymore, $3$ $3$ is left as the Remainder and $3$ $3$ is the Quotient

Substitute values into the given formula

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

$\frac{\color{#007DDC}{15}}{\color{#9a00c7}{4}}$	$=$ $=$	$\color{#00880A}{3}\frac{\color{#e65021}{3}}{\color{#9a00c7}{4}}$

3 \frac{3}{4}

$3 3/4$

Question 3 of 3

Multiply the following:

\frac{3}{4} \times \frac{1}{3} \times \frac{1}{5}

$3/4xx1/3xx1/5$

Write fractions in the format “a/b”

(1/20)

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Mute

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

Multiply the fraction and then simplify

	$\frac{3}{4} \times \frac{1}{3} \times \frac{1}{5}$ $3/4xx1/3xx1/5$

$=$ $=$	$\frac{3 \times 1 \times 1}{4 \times 3 \times 5}$ $(3xx1xx1)/(4xx3xx5)$

$=$ $=$	$\frac{3}{60}$ $3/60$

$=$ $=$	$\frac{3\div\color{#CC0000}{3}}{60\div\color{#CC0000}{3}}$	Simplify the fraction

$=$ $=$	$\frac{1}{20}$ $1/20$

\frac{1}{20}

$1/20$

Multiply and Divide Fractions 1

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Quiz summary

Information

1. Question

Hint

Well Done!

2. Question

Hint

Excellent!

Transforming an Improper to Mixed Fraction

3. Question

Hint

Keep Going!

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