Fractions: reducing, simplifying, cancelling (basic)

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Mark Hodds 5 years, 8 months ago

Created this as a copy of Fractions: reducing, simplifying, cancelling (basic).

Name	Status	Author	Last Modified
Fractions: reducing, simplifying, cancelling (basic)	Ready to use	Ben Brawn	11/02/2025 03:59
Fractions: reducing, simplifying, cancelling (basic)	draft	Mark Hodds	08/07/2019 10:03

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	13
b	integer	8
badg	number	1
c	integer	10
num	number	130
den	number	80
anum	number	13
aden	number	8

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Name

Data type

Value

xxxxxxxxxx
 
random(1..100)

JME function reference

Description

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

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Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add
Part d) Gap-fill
1. Gap Number entry
  Add
Part e) Gap-fill
1. Gap Number entry
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Gap-fill

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

Rewrite this fraction in its simplest form:

$\displaystyle\frac{\var{num}}{\var{den}}=$ Unnamed gap

Note: Use the / to signify the fraction bar. For example, $\frac{1}{2}$ is entered as $1/2$ .

Advice

To reduce this fraction we need to find common factors in the numerator and denominator, that is we need to find numbers that divide into both the top number and the bottom number.

Notice that $\var{num}$ and $\var{den}$ are both divisible by $\var{c}$ . So we will divide both numbers by this common factor $\var{c}$ :

$\begin{align}\frac{\var{num}}{\var{den}}&=\frac{\var{num}\div\var{c}}{\var{den}\div \var{c}}\\&=\simplify{{anum}/{aden}}\end{align}$

In this case, our common factor was equal to the original denominator so simplifying was actually just the same as evaluating the fraction by doing the division!

Now $\var{anum}$ and $\var{aden}$ have no common factors (other than $1$ ) and so $\frac{\var{anum}}{\var{aden}}$ is reduced.

To summarise, simplifying/reducing/cancelling fractions require you to know divisibility tests and be able to do divisions. You need to practice these skills to get better at simplifying fractions.

Give a worked solution to the whole question.

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Fractions: reducing, simplifying, cancelling (basic)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Mark Hodds 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Fractions: reducing, simplifying, cancelling (basic)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Mark Hodds 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`