Question

How do I write 0.36 as a fraction

36/10

36/100

36/1000

3/6

Answer 1

To convert the decimal 0.36 to a fraction, you can follow these steps:

1. Write the decimal as a fraction:
\[
0.36 = \frac{36}{100}
\]

2. Simplify the fraction, if possible. Both the numerator and the denominator can be divided by their greatest common divisor, which is 4:
\[
\frac{36 \div 4}{100 \div 4} = \frac{9}{25}
\]

So, the simplest form of 0.36 as a fraction is \(\frac{9}{25}\).

Among the options you provided:
- **36/10** is incorrect.
- **36/100** is technically correct, but it's not in simplest form.
- **36/1000** is incorrect.
- **3/6** is also incorrect (it simplifies to 1/2, which does not equal 0.36).

Therefore, while "36/100" is a representation of 0.36, the simplest form of the fraction is \(\frac{9}{25}\).