Answer:
In decimal form: [tex]0.00056689342[/tex] (If wanted to round to nearest thousandth, [tex]0.001[/tex])
In fraction form: [tex]\frac{1}{1764}[/tex] or [tex]\frac{28344671}{50000000000}[/tex]
Step-by-step explanation:
[tex]\frac{1}{7}\div \:252=\frac{1}{1764}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:252=\frac{252}{1}\\=\frac{1}{7}\div \frac{252}{1}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{7}\times \frac{1}{252}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\=\frac{1\times \:1}{7\times \:252}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1\\=\frac{1}{7\times \:252}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:7\times \:252=1764\\=\frac{1}{1764}[/tex]
Hopes this helps you!
Have a wonderful night!
Happy Monday!
