Question

What is 1/7 divided by 252 ?

Answer 1

Answer:

In decimal form: $0.00056689342$ (If wanted to round to nearest thousandth, $0.001$)

In fraction form: $\frac{1}{1764}$ or $\frac{28344671}{50000000000}$

Step-by-step explanation:

$\frac{1}{7}\div \:252=\frac{1}{1764}$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:252=\frac{252}{1}\\=\frac{1}{7}\div \frac{252}{1}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{7}\times \frac{1}{252}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\=\frac{1\times \:1}{7\times \:252}$

$\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1\\=\frac{1}{7\times \:252}$

$\mathrm{Multiply\:the\:numbers:}\:7\times \:252=1764\\=\frac{1}{1764}$

Hopes this helps you!

Have a wonderful night!

Happy Monday!