Question

Find an equivalent fraction for the decimal number. 0.125, 1/4, 1/8, 125/ 1000, 125/999

Answer 1

To find an equivalent fraction for the decimal number 0.125, we can convert it to a fraction.

0.125 can be expressed as:

\[
\frac{125}{1000}
\]

Now, let's simplify \(\frac{125}{1000}\):

Both 125 and 1000 can be divided by 125.

\[
\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
\]

Thus, 0.125 is equivalent to \(\frac{1}{8}\).

Among the options you listed:
- **1/4** is not equivalent (since \(0.25 \neq 0.125\)).
- **1/8** is equivalent (since \(0.125 = \frac{1}{8}\)).
- **125/1000** is equivalent (but in its unsimplified form).
- **125/999** is not equivalent (as \(125 \div 999\) is not equal to 0.125).

So, the equivalent fraction for 0.125 is \(\frac{1}{8}\).