Simplifying fractions

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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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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

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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	4
g	integer	9
f	integer	5
s1	integer	1
s	integer	1
test	integer	71

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Name

Data type

Value

xxxxxxxxxx
 
random(2..7)

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Description

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

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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
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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.

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Taxonomy: mathcentre

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Bill Foster 6 years, 2 months ago

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

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Generated value: `integer`

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Simplifying fractions

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`