W2a: Simplifying fractions

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of XE420 :

Timur Zaripov

said

Ready to use

5 years, 5 months ago

History

○

Timur Zaripov 5 years, 5 months ago

Gave some feedback: Ready to use

○

Timur Zaripov 5 years, 6 months ago

Created this as a copy of Simplifying fractions.

Name	Status	Author	Last Modified
Simplifying fractions	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
W2a: Simplifying fractions	Ready to use	Timur Zaripov	17/06/2022 09:37
Brüche vereinfachen	Ready to use	Ulrich Görtz	30/09/2024 19:41

There are 7 other versions that do you not have access to.

Question statement

Write the following expression as a single fraction in its lowest form:

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	7
b	integer	3
g	integer	9
f	integer	5
s1	integer	-1
s	integer	-1
test	integer	8

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..7)

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:

g
s1
test

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed gap" - Correct answer

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

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

$\simplify{{g} / ({a} + {s1} * ({b * g} / {f}))}$
Input your answer here: Unnamed gap

Your answer must be of the form a/b for suitable integers a and b. No decimal numbers allowed.

Do not include brackets in your answer.

Advice

We have:

$\simplify[std]{{g} / ({a} + {s1} * ({b * g} / {f})) = {g} / (({a} * {f} + {s1} * {b * g}) / {f}) ={g} / (({a * f + s1 * b * g}) / {f})= ({f}*{g}) / ({a * f + s1 * b * g}) = ({g * f} / {(a * f + s1 * b * g)})}$
Here we use the result that dividing by a fraction

$\frac{a}{b}$ is the same as multiplying by

$\frac{b}{a}$ .
The resulting fraction is in lowest form i.e. the top and bottom do not have a common factor.

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
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

W2a Units and rearranging by Timur Zaripov in XE420.
Test1 by Godswill Lucky in Godswill's workspace.
XE420-20-W1a-School-Algebra by Timur Zaripov in XE420.
XE420-21 - W1 - Algebra by Timur Zaripov in XE420.
XE420-22 - W01 - Algebra by Timur Zaripov in XE420.
XE420-24 - W01 - Algebra by Timur Zaripov in XE420.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Timur Zaripov 5 years, 5 months ago

Timur Zaripov 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

W2a: Simplifying fractions

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Timur Zaripov 5 years, 5 months ago

Timur Zaripov 5 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`