Question #bc12d

2 Answers
Sep 22, 2017

1/16

Explanation:

1/4 th of 1/4
=1/4xx1/4=1/16
1/4 th of 1/4 means fourth part of 1/4 which is equal to 1/16.

Sep 22, 2017

Once you get used to these you will be able to work them out quite fast.

1/16

Explanation:

color(blue)("The teaching bit")

A fractions' structure is that of:

("count")/("size indicator of what is being counted")

The count and size indicator form a fixed ratio in that
for example:

1/2=2/4=4/8=32/64 and so on. They all have the same intrinsic value.

To obtain a quarter we need to be able to change the top number into one that is easily divided by 4.

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color(blue)("Answering your question - using first principle")

Multiply by 1 and you do not change the value. However, 1 comes in many forms

Note that multiply by 1/4 is the same effect as dividing by 4 so we have:

[1/4color(red)(xx1)]xx1/4 color(white)("ddd") ->color(white)("ddd") [1/4color(red)(xx1)]-:4

color(white)("dddddddddddddd") ->color(white)("ddd") [1/4color(red)(xx4/4)]-:4

color(white)("dddddddddddddd") ->color(white)("ddd") [4/16]-:4

color(white)("dddddddddddddd") ->color(white)("ddd") [1/16+1/16+1/16+1/16]-:4

color(white)("dddddddddddddd") ->color(white)("ddd") 1/16

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color(blue)("Answering your question - shortcut method")

1/4" of "1/4color(white)("dd") ->color(white)("dd") 1/4xx1/4color(white)("dd")->color(white)("dd")(1xx1)/(4xx4)=1/16