Ratios 1

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Ratios 1

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Question 1 of 4

1. Question
Express the following as ratios:

$(i)$ $(i)$ A fluid with $7$ $7$ parts water to $1$ $1$ part oil

$(i i)$ $(ii)$ A mixture with $5$ $5$ parts water to $3$ $3$ parts flour

Write your answers as “a:b”
- $(i)$ $(i)$ (7:1)
  
  $(i i)$ $(ii)$ (5:3)
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A ratio compares quantities of the same type given in the same units.

$(i)$ $(i)$ Find the ratio of a fluid with $7$ $7$ parts water to $1$ $1$ part oil.

This indicates that the ratio of the fluid would be $7$ $7$ parts of water for every $1$ $1$ part of oil.

$7$ $7$ $:$ $:$ $1$ $1$

$(i i)$ $(ii)$ Find the ratio of a mixture with $5$ $5$ parts water to $3$ $3$ parts flour

This indicates that the ratio of the mixture would be $5$ $5$ parts of water for every $3$ $3$ parts of flour.

$5$ $5$ $:$ $:$ $3$ $3$

$(i) 7 : 1$ $(i) 7:1$

$(i i) 5 : 3$ $(ii) 5:3$
Question 2 of 4

2. Question
Simplify

$15 : 12$ $15:12$
- (5) $:$ $:$ (4)
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A ratio compares quantities of the same type given in the same units.

Divide both sides by their highest common factor

$15$ $15$ $:$ $:$ $12$ $12$

$15$ $15$ $\div 3$ $divide3$ $:$ $:$ $12$ $12$ $\div 3$ $divide3$ $3$ $3$ is the highest common factor

$5$ $5$ $:$ $:$ $4$ $4$

$5 : 4$ $5:4$
Question 3 of 4

3. Question
Simplify

$6 : 24$ $6:24$
- (1) $:$ $:$ (4)
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A ratio compares quantities of the same type given in the same units.

Divide both sides by their highest common factor

$6$ $6$ $:$ $:$ $24$ $24$

$6$ $6$ $\div 6$ $divide6$ $:$ $:$ $24$ $24$ $\div 6$ $divide6$ $6$ $6$ is the highest common factor

$1$ $1$ $:$ $:$ $4$ $4$

$1 : 4$ $1:4$
Question 4 of 4

4. Question
Simplify

$16 : 64$ $16:64$
- (1) $:$ $:$ (4)
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A ratio compares quantities of the same type given in the same units.

Divide both sides by their highest common factor

$16$ $16$ $:$ $:$ $64$ $64$

$16$ $16$ $\div 4$ $divide4$ $:$ $:$ $64$ $64$ $\div 4$ $divide4$ $4$ $4$ is the highest common factor

$1$ $1$ $:$ $:$ $4$ $4$

$1 : 4$ $1:4$

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3. Question

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4. Question

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Quizzes

$15$ $15$	$:$ $:$	$12$ $12$
$15$ $15$ $\div 3$ $divide3$	$:$ $:$	$12$ $12$ $\div 3$ $divide3$	$3$ $3$ is the highest common factor
$5$ $5$	$:$ $:$	$4$ $4$

$6$ $6$	$:$ $:$	$24$ $24$
$6$ $6$ $\div 6$ $divide6$	$:$ $:$	$24$ $24$ $\div 6$ $divide6$	$6$ $6$ is the highest common factor
$1$ $1$	$:$ $:$	$4$ $4$

$16$ $16$	$:$ $:$	$64$ $64$
$16$ $16$ $\div 4$ $divide4$	$:$ $:$	$64$ $64$ $\div 4$ $divide4$	$4$ $4$ is the highest common factor
$1$ $1$	$:$ $:$	$4$ $4$