Question #bc12d

2 Answers

1/16

Explanation:

1/4 th of 1/4
=1/4xx1/4=1/16=14×14=116
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.

1/16116

Explanation:

color(blue)("The teaching bit")The teaching bit

A fractions' structure is that of:

("count")/("size indicator of what is being counted")countsize 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=32/6412=24=48=3264 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")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 1/414 is the same effect as dividing by 44 so we have:

[1/4color(red)(xx1)]xx1/4 color(white)("ddd") ->color(white)("ddd") [1/4color(red)(xx1)]-:4[14×1]×14dddddd[14×1]÷4

color(white)("dddddddddddddd") ->color(white)("ddd") [1/4color(red)(xx4/4)]-:4ddddddddddddddddd[14×44]÷4

color(white)("dddddddddddddd") ->color(white)("ddd") [4/16]-:4ddddddddddddddddd[416]÷4

color(white)("dddddddddddddd") ->color(white)("ddd") [1/16+1/16+1/16+1/16]-:4ddddddddddddddddd[116+116+116+116]÷4

color(white)("dddddddddddddd") ->color(white)("ddd") 1/16ddddddddddddddddd116

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color(blue)("Answering your question - shortcut method")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)=1/1614 of 14dddd14×14dddd1×14×4=116