MA1002 using fractions (simple operations)

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Kieran Mulchrone

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6 years ago

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Kieran Mulchrone 6 years ago

Gave some feedback: Ready to use

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Kieran Mulchrone 8 years, 1 month ago

Created this as a copy of Sharon's copy of Johan's copy of Numbers II: using fractions (simple operations).

Name	Status	Author	Last Modified
Sharon's copy of Johan's copy of Numbers II: using fractions (simple operations)	draft	Sharon Gardner	22/02/2017 09:54
MA1002 using fractions (simple operations)	Ready to use	Kieran Mulchrone	13/03/2019 07:44
Harry's copy of MA1002 using fractions (simple operations)	draft	Harry Flynn	30/06/2017 16:35
Fraction Arithmetic with answers in simplest form	draft	Harry Flynn	04/07/2017 19:40
Fraction Arithmetic with answers in simplest form	draft	Harry Flynn	02/07/2018 12:10
Fraction Arithmetic with answers in simplest form	draft	Adrian Jannetta	18/09/2024 14:41
emma's copy of MA1002 using fractions (simple operations)	draft	emma rand	27/07/2018 11:03
LHS Fraction Arithmetic with answers in simplest form	draft	Harry Flynn	27/09/2018 09:46
Fractions (simple operations)	Needs to be tested	sean hunte	27/08/2019 15:43
Musa's copy of MA1002 fractions	draft	Musa Mammadov	01/08/2022 08:18
Musa's copy of MA1002 - Fractions 3 - Adding and Substracting only (simple operations)	draft	Musa Mammadov	27/06/2023 01:45
Musa's copy of 3 MA1002 fractions	draft	Musa Mammadov	27/06/2023 01:47

There are 12 other versions that do you not have access to.

Question statement

These are basic questions to help you practice adding, subtracting, multiplying and dividing fractions.

Attempt the questions without a calculator.

Give your answer as a fraction.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	7
b	integer	19
c	integer	12
d	integer	16
f	integer	19
g	integer	2
j	integer	3
m	integer	10
p	integer	6
r	integer	13
t	integer	6
v	integer	17
x	integer	16
z	integer	11
bb	integer	7
dd	integer	8
ff	integer	20
hh	integer	2
jj	integer	17
ll	integer	18
nn	integer	20
pp	integer	14
rr	integer	14
tt	integer	8
h	integer	1
k	integer	2
l	integer	3
n	integer	1
o	integer	2
q	integer	11
s	integer	1
u	integer	16
w	integer	2
y	integer	11
aa	integer	2
cc	integer	4
ee	integer	2
gg	integer	1
ii	integer	7
kk	integer	3
mm	integer	19
oo	integer	11
qq	integer	3
ss	integer	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..b-1) //random numerator less than denominator

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`

← Depends on:

→ Used by:

"Part a)" - prompt
"Part a)" - Minimum accepted value
"Part a)" - Maximum accepted value
"Part a)" → "Step 0." - Minimum accepted value
"Part a)" → "Step 0." - Maximum accepted value
"Part a)" → "Step 2." - Minimum accepted value
"Part a)" → "Step 2." - Maximum accepted value

Advice

When adding/subtracting fractions, you must first find a common denominator between the fractions. If they already have the same denominator then you only need to worry about adding/subtracting the numerators and dividing the result by the common denominator.

For example:
To find a common denominator of $\frac{2}{5} + \frac{7}{15}$ , the most obvious would be $15$ , because $5\times3=15$ . Therefore, you must multiply both sides of the fraction $\frac{2}{5}$ by $3$ to obtain a new fraction $\frac{6}{15}$ . This is known as 'scaling up'.
Now you can add the two fractions together (by adding the numerators) because they have the same denominator:
$\frac{6}{15}+\frac{7}{15}=\frac{13}{15}$ .

The same applies with subtraction as well as addition.

When multiplying fractions, you can simply multiply the two numerators and divide this by the multiplication of the two denominators.

For example:
$\frac{a}{b}\times\frac{c}{d}$ = $\frac{a\times{c}}{b\times{d}}$

When dividing fractions, you firstly need to reciprocate (flip) the second fraction, then multiply the numerators and denominators as you would a normal multiplication question.

For example:
$\frac{a}{b} \div \frac{c}{d}$ would be flipped to become $\frac{a}{b} \div \frac{d}{c}$ and then treated as a normal multiplication question (as explained above).

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This question is used in the following exams:

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Taxonomy: mathcentre

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Taxonomy: Context

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Kieran Mulchrone 6 years ago

Kieran Mulchrone 8 years, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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MA1002 using fractions (simple operations)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Kieran Mulchrone 6 years ago

Kieran Mulchrone 8 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`