How do you convert the fraction 7/12 into a decimal and round it to the nearest thousandth?

To convert the fraction 7/12 into a decimal, you simply need to perform the division of the numerator (7) by the denominator (12).

Here’s how you can do it:

1. Start by dividing 7 by 12. You can use a calculator for precise results, or do it manually.
2. The calculation gives you 0.5833333…, which is a repeating decimal.

Next, we need to round this decimal to the nearest thousandth:

• Look at the third digit after the decimal point, which is 3.
• Then check the digit immediately following it, which is 3 as well.
• Since this following digit (3) is less than 5, we round down.

Thus, rounding 0.5833333… to the nearest thousandth results in 0.583.

In summary, the fraction 7/12 as a decimal, rounded to the nearest thousandth, is 0.583.