Question

Which is the quotient of 1/4 ÷ 4 ? Use a number line to help.

Answer 1

`(1)/(16)`

Explanation:

Given;

`(1)/(4)/ \:4`

Solve;

`\mathrm{Convert\:element\:to\:fraction}:\quad \:4=(4)/(1)`

`=(1)/(4)/ (4)/(1)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)`

`(1)/(4)* (1)/(4)`

`\mathrm{Multiply\:fractions}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)`

`=(1* \:1)/(4* \:4)`

`\mathrm{Multiply\:the\:numbers:}\:1* \:1=1`

`=(1)/(4* \:4)`

`\mathrm{Multiply\:the\:numbers:}\:4* \:4=16`

`=(1)/(16)`

Number line given below:

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