NG7 - Simplify (cancel down) Fractions - top heavy

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of Skills Audits for Maths and Stats :

Will Morgan	said	Ready to use	1 year ago
Andrew Neate	said	Needs to be tested	1 year ago

History

○

Will Morgan 11 months, 2 weeks ago

Published this.

○

Andrew Neate 1 year ago

Created this as a copy of NG2 - Converting mixed numbers to top heavy.

Name	Status	Author	Last Modified
Converting between Mixed Numbers and Improper Fractions	Should not be used	Lauren Richards	20/11/2019 14:47
Select the fraction not equivalent to the others - small denominators	Ready to use	Christian Lawson-Perfect	20/11/2019 14:42
Select the fraction not equivalent to the others - large denominators	Ready to use	Christian Lawson-Perfect	20/11/2019 14:42
Welche Bruchzahl ist verschieden von allen anderen? (Kleine Nenner)	Ready to use	Ulrich Görtz	15/10/2020 07:54
Welcher Bruch stimmt nicht mit den anderen überein? (Große Nenner)	Ready to use	Ulrich Görtz	26/11/2020 10:29
NG2 - Converting mixed numbers to top heavy	Ready to use	Andrew Neate	10/04/2024 09:35
NG7 - Simplify (cancel down) Fractions - top heavy	Ready to use	Andrew Neate	10/04/2024 09:36
Merryn's copy of Converting between Mixed Numbers and Improper Fractions	Ready to use	Merryn Horrocks	08/03/2024 01:17

There are 26 other versions that do you not have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

f	integer	4
g	integer	6
h	integer	18
gcd_gh	number	6
g_coprime	number	1
h_coprime	number	3
num	number	13
gcdb	number	1

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

Random number between 1 and 5

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:

Advice
"Unnamed part" → "Gap 2." - Minimum accepted value
"Unnamed part" → "Gap 2." - Maximum accepted value

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add

Gap-fill

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

Write the improper fraction as a mixed number and reduce it down to its simplest form.

$\displaystyle{\frac{\var{num/gcdb}}{\var{h_coprime/gcdb}}} =$ Gap 2. Gap 0. Gap 1. .

Advice

A mixed number is a number consisting of an integer and a proper fraction, i.e. a number in the form $a \displaystyle \frac{b}{c}$ where $a$ is an integer and $\displaystyle\frac{b}{c}$ is a proper fraction: $b$ is smaller than $c$ .

An improper fraction is a fraction where the numerator is larger than the denominator, i.e. a number of the form $\displaystyle\frac{d}{e}$ where the numerator, $d$ , is greater than the denominator, $e$ .

To convert an improper fraction into a mixed number, find out how many times the denominator \var{h_coprime/gcdb} goes into the numerator \var{num/gcdb}. You can do this by dividing the numerator by the denominator and taking the whole number part or you can just add the denominator to itself until one more addition would make it bigger. This gives us a whole number part of our mixed fraction of \var{f}.

The numerator of our mixed fraction is what is left from dividing out the whole number. For this question that is $\var{num/gcdb}-\var{f*h_coprime}.

Finally the denominator of our mixed fraction is just the denominator of the improper fraction.

$\frac{\var{num/gcdb}}{\var{h_coprime/gcdb}} = {\var{f}\frac{\var{g_coprime}}{\var{h_coprime}}}\text{.}$

Use this link to find some resources which will help you revise this topic.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

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
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Loading...

Error

NG7 - Simplify (cancel down) Fractions - top heavy

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 11 months, 2 weeks ago

Will Morgan 1 year ago

Andrew Neate 1 year ago

Andrew Neate 1 year ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

NG7 - Simplify (cancel down) Fractions - top heavy

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 11 months, 2 weeks ago

Will Morgan 1 year ago

Andrew Neate 1 year ago

Andrew Neate 1 year ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`