Question

Convert $976.67$ from decimal to fraction, and divide by $1,000$. The result we get is .

Answer 1

Let's first convert $976.67$ from decimal to fraction.

We know $976.67\times 100=97,667$. As division is just the opposite of multiplication, we can write $97,667÷100=976.67$.

Hence,
$976.67÷1,000$
$=(97,667÷100)÷1,000$
$($Replcaing $976.67$ by $97,667÷100)$

$=\frac{97,667}{100}÷1,000$

$=\frac{97,667}{100}÷\frac{1,000}{1}$

$=\frac{97,667}{100}\times \frac{1}{1,000}$
$($As division is just the opposite of multiplication$)$

$=\frac{97,667\times 1}{100\times 1,000}$

$=\frac{97,667}{100,000}$

$=97,667÷100,000$

$=97,667.0÷{10}^5$

$=.976670$
$($Dividing $97,667.0$ by ${10}^5$ moves the decimal point $5$ units to the left)

$=0.97667$