Add two fractions with different denominators

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Anthony Brown

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Anthony Brown 8 years, 6 months ago

Created this as a copy of Add two fractions with the same denominator.

Name	Status	Author	Last Modified
Equivalent Fractions	Ready to use	Rob Cade	17/06/2016 12:18
Gapfills in fractions	draft	Christian Lawson-Perfect	05/05/2021 14:17
Fractions: equivalent	Ready to use	Ben Brawn	26/08/2024 05:43
Algebraic fractions: simplifying/cancelling	Ready to use	Ben Brawn	06/02/2025 00:42
Algebra V: algebraic fractions (reasoning)	Ready to use	Luke Park	17/08/2016 17:19
Francis 's copy of Algebra V: algebraic fractions (simplification)	draft	Francis Duah	12/08/2016 14:48
Algebra V: algebraic fractions (simplification)	Ready to use	Nasir Firoz Khan	17/08/2016 17:31
Anthony's copy of Equivalent Fractions	draft	Anthony Brown	14/09/2016 20:17
Anthony's copy of Gapfills in fractions	draft	Anthony Brown	16/09/2016 00:01
Add two fractions with the same denominator	draft	Anthony Brown	27/08/2021 12:36
Add two fractions with the same denominator (some negative numbers).	draft	Anthony Brown	05/07/2017 23:14
Subtract two fractions with the same denominator	draft	Anthony Brown	05/07/2017 23:22
Subtract two fractions with the same denominator (some negative numbers).	draft	Anthony Brown	05/07/2017 23:21
Add two fractions with different denominators	draft	Anthony Brown	05/07/2017 23:08
Add two fractions with different denominators (some negative numbers)	draft	Anthony Brown	05/07/2017 23:13
Subtract two fractions with different denominators	draft	Anthony Brown	05/07/2017 23:03
Subtract two fractions with different denominators (some negative numbers)	draft	Anthony Brown	05/07/2017 23:00
Multiply two fractions	draft	Anthony Brown	11/07/2017 19:13
Multiply two fractions (some negative numbers)	draft	Anthony Brown	11/07/2017 19:14
Divide two fractions	draft	Anthony Brown	05/07/2017 20:59
Divide two fractions (some negative numbers)	draft	Anthony Brown	05/07/2017 20:58
Calculating powers (a^(-1))	draft	Anthony Brown	05/07/2017 17:01
Calculating powers ((-a)^(-b))	draft	Anthony Brown	05/07/2017 17:04
Calculating powers (-a^(-b))	draft	Anthony Brown	05/07/2017 16:17
Calculating powers (1^(-b))	draft	Anthony Brown	05/07/2017 17:00
Calculating powers (-a^(-a))	draft	Anthony Brown	05/07/2017 17:00
Calculating powers (-a^(-1))	draft	Anthony Brown	05/07/2017 13:14
Calculating powers (a^(-1))	draft	Anthony Brown	05/07/2017 13:13
Algebra V: algebraic fractions (reasoning)	draft	steve kilgallon	09/11/2016 19:00
Vicky's copy of Gapfills in fractions	draft	Vicky Hall	14/06/2017 14:46
gap in breuk	draft	Johan Maertens	10/07/2017 13:34
Calculating powers (a^(-b))	draft	Anthony Brown	11/07/2017 16:29
Add two fractions with the same denominator	draft	Anthony Brown	12/08/2017 13:03
Add two fractions with the same denominator (some negative numbers).	draft	Anthony Brown	12/08/2017 13:04
Subtract two fractions with the same denominator	draft	Anthony Brown	12/08/2017 13:05
Subtract two fractions with the same denominator (some negative numbers).	draft	Anthony Brown	12/08/2017 13:05
Add two fractions with different denominators	draft	Anthony Brown	12/08/2017 13:06
Add two fractions with different denominators (some negative numbers)	draft	Anthony Brown	12/08/2017 13:07
Subtract two fractions with different denominators	draft	Anthony Brown	12/08/2017 13:07
Subtract two fractions with different denominators (some negative numbers)	draft	Anthony Brown	12/08/2017 13:08
Multiply two fractions	draft	Anthony Brown	12/08/2017 14:42
Multiply two fractions (some negative numbers)	draft	Anthony Brown	12/08/2017 14:43
Divide two fractions	draft	Anthony Brown	12/08/2017 14:44
Divide two fractions (some negative numbers)	draft	Anthony Brown	12/08/2017 14:45
Calculating powers (a^(-1))	draft	Anthony Brown	12/08/2017 19:18
Calculating powers (-a^(-1))	draft	Anthony Brown	12/08/2017 19:19
Calculating powers (a^(-b))	draft	Anthony Brown	12/08/2017 19:20
Calculating powers (-a^(-b))	draft	Anthony Brown	12/08/2017 19:20
Calculating powers (-a^(-a))	draft	Anthony Brown	12/08/2017 19:21
Calculating powers (1^(-b))	draft	Anthony Brown	12/08/2017 19:22
Calculating powers ((-a)^(-b))	draft	Anthony Brown	12/08/2017 19:22
copy of fractions question	draft	Lovkush Agarwal	08/09/2017 14:33
Hannah's copy of Equivalent Fractions	draft	Hannah Bartholomew	14/09/2017 12:02
Johan's copy of Gapfills in fractions	draft	Johan Maertens	23/01/2018 16:01
Ida's copy of Algebraic fractions: simplifying/cancelling	draft	Ida Landgärds	13/04/2018 09:16
Algebra V: algebraic fractions (reasoning)	draft	heike hoffmann	14/11/2018 20:43
Algebraic fractions: simplifying/cancelling	Ready to use	heike hoffmann	14/11/2018 20:53
Terry's copy of Algebraic fractions: simplifying/cancelling	draft	Terry Young	03/04/2019 17:35
Complex Numbers; Division 01 (Rect')	Ready to use	Michael Proudman	08/02/2022 15:21
Merryn's copy of Fractions: equivalent	Ready to use	Merryn Horrocks	07/03/2024 01:07

There are 115 other versions that do you not have access to.

Question statement

Add the following fractions using the formula $\dfrac{a}{b}+\dfrac{c}{d}=\frac{\boxed{ad}+\boxed{bc}}{\boxed{bd}}=\frac{\boxed{ad+bc}}{\boxed{bd}}$ .

An example of a correct calculation would be $\dfrac{1}{2}+\dfrac{3}{4}=\frac{\boxed{4}+\boxed{6}}{\boxed{8}}=\frac{\boxed{10}}{\boxed{8}}$ .

Note that in the intermediate stage, you have to use the denominator $bd$ to be marked correct, you should not use a smaller common denominator (if one exists). Also note the final fraction should be left as it is and should not be entered in lowest form (if this is different).

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	31
b	integer	32
c	integer	87
d	integer	34

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..99)

JME function reference

Description

Numerator of the first fraction.

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`

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. Number entry
  Add

Gap-fill

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

{a}{b} $\ +\$ {c}{d} $\ =\$ Gap 0. $\ +\$ Gap 1. Gap 2. $\ =\$ Gap 3.Gap 4..

Advice

The correct calculation is $\dfrac{\var{a}}{\var{b}}+\dfrac{\var{c}}{\var{d}}=\frac{\boxed{\var{a*d}}+\boxed{\var{b*c}}}{\boxed{\var{b*d}}}=\frac{\boxed{\var{a*d+b*c}}}{\boxed{\var{b*d}}}$ .

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
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Add two fractions with different denominators

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Anthony Brown 8 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Add two fractions with different denominators

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Anthony Brown 8 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`