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Question

The given equation represents the sum of the fractions represented on the line plot:


Sum=(3×18)+(3×14)+(1×12)

Choose the line plot whose fractions add up to give the same sum:


A
Plot B
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B
Plot C
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C
Plot A
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D
Plot D
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Solution

The correct option is D Plot D
The sum of the fractions of the given plot is:

Sum=(3×18)+(3×14)+(1×12)

Now, this sum can be expressed as:

Sum=(3×18)+(3×14)+(1×12)

=(18+18+18)+(14+14+14)+12

=18+(18+18)+14+(14+14)+12

=18+(28)+14+(24)+12

Now, 28=14

Also, 24=12

Sum=18+(28)+14+(24)+12

=18+(14)+14+(12)+12

=18+(14+14)+12+12

=18+(24)+12+12

=18+(12)+12+12

Rewriting this, we find:

Sum=(1×18)+(0×14)+(3×12)

Plotting the number of each type of fraction on a line plot, we get:


Hence, the fractions represented in plot D add up to give the sum given in the question.

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