Fractions: adding and subtracting, numerical, already with common denominator

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Ben Brawn

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From users who are members of pre-algebra Numeracy and Arithmetic :

Ben Brawn

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3 years, 5 months ago

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Ben Brawn 3 years, 5 months ago

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Name	Status	Author	Last Modified
Fractions: adding and subtracting, numerical, already with common denominator	Ready to use	Ben Brawn	11/02/2025 23:17
Fractions: adding and subtracting, algebraic, already with common denominator	Ready to use	Ben Brawn	26/03/2025 02:38
Fractions: adding and subtracting, numerical	Ready to use	Ben Brawn	11/02/2025 23:20
Fractions: adding and subtracting, algebraic	Ready to use	Ben Brawn	26/03/2025 02:38
Fractions: multiplying, algebraic	Ready to use	Ben Brawn	26/03/2025 04:18
Merryn's copy of Fractions: adding and subtracting, numerical	Ready to use	Merryn Horrocks	07/03/2024 01:07
Merryn's copy of Fractions: adding and subtracting, numerical, already with common denominator	Ready to use	Merryn Horrocks	07/03/2024 01:07

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Question statement

Express the following as a single fraction (using / as the fraction bar).

Give any introductory information the student needs.

			Name	Type	Generated Value

tempnumbers	list	[ 3, 5, 17 ]
numbers	list	[ 5, 3, 17 ]
den	integer	17
num1	integer	5
num2	integer	3
addSub	integer	1
ansnum	integer	8

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
sort(shuffle([3,5,7,11,13,17,19,23,29])[0..3])

JME function reference

Description

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

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Generated value: `list`

[ 3, 5, 17 ]

→ Used by:

numbers

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
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$=$ Unnamed gap

Advice

Since both denominators are the same, i.e. $\var{den}$ . We can simply the numerators, $\var{num1}$ and $\var{num2}$ , and put that over the common denominator.

$\begin{align*}\dfrac{\var{num1}}{\var{den}}+\dfrac{\var{num2}}{\var{den}}&=\dfrac{\var{num1}+\var{num2}}{\var{den}}\\[3pt]&=\dfrac{\var{ansNum}}{\var{den}}\end{align*}$

$\begin{align*}\dfrac{\var{num1}}{\var{den}}-\dfrac{\var{num2}}{\var{den}}&=\dfrac{\var{num1}-\var{num2}}{\var{den}}\\[3pt]&=\dfrac{\var{ansNum}}{\var{den}}\end{align*}$

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Part	Test	Passed?
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Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Test by John Chigongo in John's workspace.
Pre-Algebra by Chris Templet in Chris's workspace.
Fractions: adding and subtracting, numeric and algebraic by Ben Brawn in Algebra.
addition by Michelle Kwok in Michelle's workspace.
Week 1 by P Oak in P's workspace.

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Fractions: adding and subtracting, numerical, already with common denominator

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Ben Brawn 3 years, 5 months ago

Ben Brawn 3 years, 5 months ago

Ben Brawn 3 years, 5 months ago

Error in variable testing condition

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Generated value: `list`

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Error

Fractions: adding and subtracting, numerical, already with common denominator

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 3 years, 5 months ago

Ben Brawn 3 years, 5 months ago

Ben Brawn 3 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`