Question

Question #bc12d

Answer 1

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.

Answer 2

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`