Convert Fraction to Decimal: Solving 67/1000 Step by Step

Question

Convert 671000 \frac{67}{1000} into a decimal.

Video Solution

Solution Steps

00:04 Let's convert this to a decimal fraction.
00:08 Count the number of zeros in the denominator.
00:12 With three zeros, move the decimal point 3 places left.
00:18 Place the numerator so there are three digits after the decimal.
00:23 Fill any missing spots with zero.
00:26 And that's how you find the solution!

Step-by-Step Solution

To convert the fraction 671000\frac{67}{1000} into a decimal, we recognize that the denominator 1000 implies that this fraction can be expressed in the thousandths place of a decimal.

  • Step 1: Identify that the fraction 671000\frac{67}{1000} needs to be expressed with three decimal places.
  • Step 2: Understand that each place value after the decimal corresponds to tenths, hundredths, and thousandths, respectively. Since we have 67 thousandths, the decimal will have three digits after the decimal point.
  • Step 3: Place 67 into the decimal system by placing it three places to the right of the decimal point:

We write it as 0.0670.067. Here, "0.0" represents there are no tenths or hundredths, and "67" fills the thousandths place.

Therefore, the decimal equivalent of 671000\frac{67}{1000} is 0.067\mathbf{0.067}.

Answer

0.067