Convert the Fraction: Simplifying 6/500 to Decimal Form

Question

$\frac{6}{500}=\text{ ?}$

00:00 Convert to decimal fraction

00:03 Convert the fraction so the denominator is a multiple of 10 and any 10

00:06 Make sure to multiply both numerator and denominator

00:17 Write the numerator as a number

00:20 Now according to the denominator, move the decimal point to the left

00:23 There are 3 zeros in the denominator, so move 3 times to the left

00:29 And this is the solution to the question

Let's first multiply both the numerator and denominator by 2 to make the denominaor 1000:

$\frac{6\times2}{500\times2}=\frac{12}{1000}$

Now let's rewrite the simple fraction as a decimal:

$12.0$

Since the fraction divides by 1000, we'll move the decimal point three places to the left:

$.0120$

Finally we can add a zero before the decimal point to get our answer:

$0.0120=0.012$

0.012