Arithmetic with Fractions

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Lois Rollings

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Lois Rollings 8 years, 8 months ago

Published this.

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Lois Rollings 9 years, 9 months ago

Created this as a copy of Bill's copy of Division of Fractions.

Name	Status	Author	Last Modified
Arithmetic with Fractions	draft	Lois Rollings	25/08/2016 12:15
Ioannis's copy of Arithmetic with Fractions	draft	Ioannis Lignos	09/10/2018 14:59
Ioannis's copy of Arithmetic with Fractions	draft	Ioannis Lignos	17/09/2019 12:41

There are 13 other versions that do you not have access to.

Question statement

Evaluate and simplify the following, giving your answers as exact single fractions:

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	24
c	integer	6
b	integer	10
d	integer	2
m	integer	5
n	integer	4
nm	list	[ 4, 5 ]

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{n}*{c}

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Generated value: `integer`

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Part b) Gap-fill
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$\displaystyle {\dfrac {\var{n}} {\var{m}}} + {\dfrac {\var{d}} {\var{c}}}$

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Advice

a) When adding fractions you first need to put them over a common denominator.

See http://www.mathsisfun.com/fractions_addition.html for explanations and examples.

b) When multiplying $\dfrac{a}{b} \times \dfrac{c}{d}$ we get $\dfrac{ab}{cd}$ . It might then be possible to simplify the answer by cancelling common factors.

See http://www.mathsisfun.com/fractions_multiplication.html for explanations and examples.

c) $\dfrac{\var{a}}{\var{b}} \div \dfrac{\var{c}}{\var{d}}$ is equivalent to $\dfrac{\var{a}}{\var{b}} \times \dfrac{\var{d}}{\var{c}}$ .

After cancelling this is $\dfrac{\var{n}}{\var{m}}$ .

See http://www.mathsisfun.com/fractions_division.html for some more examples and an explanation of this method.

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Taxonomy: mathcentre

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Lois Rollings 8 years, 8 months ago

Lois Rollings 9 years, 9 months ago

Error in variable testing condition

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Generated value: `integer`

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Arithmetic with Fractions

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 8 years, 8 months ago

Lois Rollings 9 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`