Convert Decimal to Fraction: Transforming 0.007 to Simplified Form

Question

Convert 0.007 into a fraction.

00:00 Convert to simple fraction

00:03 Move the decimal point right until the number is whole

00:06 In a decimal fraction, the denominator must be a multiple of 10

00:10 We moved the decimal point 3 places right

00:13 Therefore we'll add three zeros to the denominator

00:19 Place the digits in the numerator

00:24 And this is the solution to the question

To solve this problem of converting the decimal 0.007 into a fraction, follow these steps:

Step 1: Recognize the number of decimal places in 0.007, which is three.
Step 2: Write 0.007 as a fraction. Place 7 (the number without the decimal) over 1 followed by three zeros, giving us a denominator of 1000. This is because there are three digits after the decimal point.

The fraction form is $\frac{7}{1000}$ .

Thus, 0.007 converted into a fraction is $\frac{7}{1000}$ .

$\frac{7}{1000}$