Reduce fractions to lowest terms

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Bill Foster

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6 years, 2 months ago

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Bill Foster 6 years, 2 months ago

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Newcastle University Mathematics and Statistics 9 years, 2 months ago

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Question statement

Reduce the following fractions to lowest terms. Write the numerator and denominator of the lowest term fraction in the boxes provided.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	8
f2	number	15
b	integer	9
d	number	1
g	number	9
f	number	8
h2	integer	13
h	integer	10
k	number	90
j	number	80
j2	number	195
k2	number	559
a2	integer	15
b2	integer	43
d2	number	1
g2	number	43

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..50)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$\dfrac{\var{j}}{\var{k}}$

In lowest terms, the numerator is Gap 0., the denominator is Gap 1.

Advice

a) We observe that the highest common factor (the largest number dividing both) of $\var{j}, \var{k}$ is $\var{h}$ , so we divide top and bottom by $\var{h}$ to get $\dfrac{\var{f}}{\var{g}}$ . Therefore, in lowest terms, the numerator is $\var{f}$ , the denominator is $\var{g}$ .

b) We observe that the highest common factor (the largest number dividing both) of $\var{j2}, \var{k2}$ is $\var{h2}$ , so we divide top and bottom by $\var{h2}$ to get $\dfrac{\var{f2}}{\var{g2}}$ . Therefore, in lowest terms, the numerator is $\var{f2}$ , the denominator is $\var{g2}$ .

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Taxonomy: mathcentre

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Taxonomy: Context

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Checkpoint description

Bill Foster 6 years, 2 months ago

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Reduce fractions to lowest terms

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Bill Foster 6 years, 2 months ago

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`