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Here you have to determine
which piece of cake you have
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is the heaviest.
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So for Cake 1, you have 6/11
of a 1.35 kilogramme cake.
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And for Cake 2, you have 4/15
of a 2 pound 9 ounce cake.
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This is a difficult
problem because you
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have different proportions
of different cakes,
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and the cakes are also
measured in different units.
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As in the question, you
can calculate how much cake
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you have by multiplying
the fraction by the mass.
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So for Cake 1, 6/11
multiplied by 1.35 kilogrammes
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gives you 0.7363 kilogrammes.
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In order to perform this
calculation on Cake 2,
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you should convert the 2 pounds
9 ounce cake into kilogrammes.
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2 pounds 9 ounces
equals 41/16 pounds,
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because there are 16
pounds in an ounce.
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One pound equals
0.454 kilogrammes,
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and so 41/16 pounds
multiplied by 0.454
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gives 1.1634 kilogrammes.
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This is the mass of
Cake 2 in kilogrammes.
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Now, multiplying 4/15 by
this mass in kilogrammes,
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4/15 multiplied by
1.1634 kilogrammes
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gives 0.3102 kilogrammes.
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This is the mass of Cake 2
that you have in kilogrammes.
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And so clearly, Cake
1 is the heaviest.