Ratios 4

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Ratios 4

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Question 1 of 4

1. Question
Simplify

$60 cents : $ 2$ $60 \text(cents):$2$
- (3) $:$ $:$ (10)
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A ratio compares quantities of the same type given in the same units.

First, convert the dollars into cents

$$ 1$ $$1$ $=$ $=$ $100 cents$ $100 \text(cents)$

$2 \times \frac{100}{1}$ $2xx(100)/1$ $=$ $=$ $200$ $200$

$60$ $60$ $:$ $:$ $200$ $200$

Finally, divide both sides by their highest common factor

$60$ $60$ $:$ $:$ $200$ $200$

$60$ $60$ $\div 20$ $divide20$ $:$ $:$ $200$ $200$ $\div 20$ $divide20$ $20$ $20$ is the highest common factor

$3$ $3$ $:$ $:$ $10$ $10$

$3 : 10$ $3:10$
Question 2 of 4

2. Question
Simplify

$700 kg : 2 t$ $700 \text(kg):2 \text(t)$
- (7) $:$ $:$ (20)
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A ratio compares quantities of the same type given in the same units.

First, convert the tons into kilograms

$1 ton$ $1 \text(ton)$ $=$ $=$ $1000 kilograms$ $1000 \text(kilograms)$

$2 \times \frac{1000}{1}$ $2xx(1000)/1$ $=$ $=$ $2000$ $2000$

$700$ $700$ $:$ $:$ $2000$ $2000$

Finally, divide both sides by their highest common factor

$700$ $700$ $:$ $:$ $2000$ $2000$

$700$ $700$ $\div 100$ $divide100$ $:$ $:$ $2000$ $2000$ $\div 100$ $divide100$ $100$ $100$ is the highest common factor

$7$ $7$ $:$ $:$ $20$ $20$

$7 : 20$ $7:20$
Question 3 of 4

3. Question
Simplify

$\frac{1}{x} : x$ $1/x:x$
- 1. $1 : x^{2}$ $1:x^2$
- 2. $1 : x$ $1:x$
- 3. $1 : 2 x$ $1:2x$
- 4. $2 : x$ $2:x$
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A ratio compares quantities of the same type given in the same units.

Remove the fraction by cancelling out the denominator

$\frac{1}{x}$ $1/x$ $:$ $x$

$1/x$ $timesx$ $:$ $x$ $timesx$ Multiply both sides by $x$

$1$ $:$ $x^2$ $x/x=1$

$1:x^2$
Question 4 of 4

4. Question
Simplify

$8ab:2ac$
- (4b) $:$ (c)
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A ratio compares quantities of the same type given in the same units.

Simplify the ratio by dividing common factors to each side.

$8ab$ $:$ $2ac$

$8ab$ $divide2$ $:$ $2ac$ $divide2$ Divide both sides by $2$

$4ab$ $dividea$ $:$ $ac$ $dividea$ Divide both sides by $a$

$4b$ $:$ $c$

$4b:c$

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1. Question

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2. Question

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Correct!

3. Question

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4. Question

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Exceptional!

Quizzes

$2 \times \frac{100}{1}$ $2xx(100)/1$	$=$ $=$	$200$ $200$

$60$ $60$	$:$ $:$	$200$ $200$

$2 \times \frac{1000}{1}$ $2xx(1000)/1$	$=$ $=$	$2000$ $2000$

$700$ $700$	$:$ $:$	$2000$ $2000$

$\frac{1}{x}$ $1/x$	$:$	$x$

$1/x$ $timesx$	$:$	$x$ $timesx$	Multiply both sides by $x$

$1$	$:$	$x^2$	$x/x=1$

$8ab$	$:$	$2ac$
$8ab$ $divide2$	$:$	$2ac$ $divide2$	Divide both sides by $2$
$4ab$ $dividea$	$:$	$ac$ $dividea$	Divide both sides by $a$
$4b$	$:$	$c$

$60$ $60$	$:$ $:$	$200$ $200$
$60$ $60$ $\div 20$ $divide20$	$:$ $:$	$200$ $200$ $\div 20$ $divide20$	$20$ $20$ is the highest common factor
$3$ $3$	$:$ $:$	$10$ $10$

$700$ $700$	$:$ $:$	$2000$ $2000$
$700$ $700$ $\div 100$ $divide100$	$:$ $:$	$2000$ $2000$ $\div 100$ $divide100$	$100$ $100$ is the highest common factor
$7$ $7$	$:$ $:$	$20$ $20$