Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Given;
[tex]\frac{1}{4}\div \:4[/tex]
Solve;
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:4=\frac{4}{1}[/tex]
[tex]=\frac{1}{4}\div \frac{4}{1}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]\frac{1}{4}\times \frac{1}{4}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{1\times \:1}{4\times \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1[/tex]
[tex]=\frac{1}{4\times \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\times \:4=16[/tex]
[tex]=\frac{1}{16}[/tex]
Number line given below:
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